Hi, how's everybody doing today? I'm your host, Rich, and we have a Rich TV Live with our very special guest, the CEO of Max Resources Corp, Brett Matich. How are you doing today, Brett? I'm great, how are you, Rich? I'm doing very, very well. Excited to learn more about you and your company today. And I just want to remind everybody that the symbol is MXR on the Toronto Stock Venture Exchange TSXV. Now I have some questions for you today, Brett. And I want to start off by asking you, can you tell us a little bit about yourself and how you got involved with Max Resource Corp? Yeah, a little bit about myself. I'm Australian, as you can hear. I've been in Vancouver for the last 10 years. My background, I've headed a number of junior companies. One of them is a company called Aztec Resources in Australia that went from a one million market cap to a $300 million takeover. And that's what I look for. I look at potential in relation to early stage but potential for scale. And that's how we got to Columbia. And my involvement with Max Resources was invited to come on and look for a project. And my specific focus was in Columbia. The reason in Columbia is the largest copper mineral belt in the world, production belt, is the Andes. And the Andes, the northern end of it is Columbia. But it's only the last five or six years that the Columbia has opened up for mineral exploration investment and particularly in the area where we are. So the area where we are is, it has the largest coal mine in South America. But there hasn't been any copper exploration. And even though there's been a lot of copper there in the past and the movement of the companies now to move out of coal, out of thermal coal and moving into copper because with this clean energy, clean energy direction or transition, copper is the main one. I mean, you look at an electric vehicle, four times as much copper was required in an electric vehicle compared to combustion vehicle. So with this and the clean energy transformation, it's really copper copper copper. I agree with you, copper is in huge demand right now. Brett, can you tell us what are some of the milestones that Max Resource Corp hit this year and what are some of the catalyst shareholders have to look forward to in 2022? So the milestones we hit this year, we in 2020, we identified a large amount of copper and silver with a very high grade going up plus 30% copper and plus 10 ounces of the tonne silver. What the gain change or what we achieved this year is we're looking at not only copper areas but areas that have potential volume because it's all about scale. And this year we discovered an area called Uru. The potential volume is scalable and that's the game changer. Until recently, then we come into mining concessions because we are now focused on a direct strategy rather than just looking at copper and general in the base. So now we're concentrating on this particular area called Uru, URU. Brett, can you tell us a little bit about the management team at Max Resource Corp, especially their past success in the public markets? Well, I told you a little bit about my past success. Our country manager is a person named Dr. Chris Granger. He has given us the experience and direction in Columbia. We actually got directed by himself to where we are. He, one of the most famous recent takeovers in Columbia was a company called Continental Gold. It was taken over 1.4 billion. Here was one of the head exploration there from the very, very start. Another one that's in there is a copper project that's coming into production. Everyone would probably not hear of the person named Robert Friedland. It's one of his projects, a company called HPX. So he has been really the main driver there in relation to getting to where we are. Now you recently announced the company was granted three key mining concession contracts for a total of four for the URU zone. Can you tell us what this means for the company? Yeah, this is really the quantum leap. Now those four particular mineral concessions, they cover an area of 70 square kilometers, which is huge. And it's over URU. And that's exactly where we are targeting in relation to the volumetric size or scale of this copper. So it's a game changer in that the question's always been asked, look, when are you gonna get approved concessions? So we've now ticked that off. And the next question is, when are you gonna drill? So this is a game changer. You can't do any drilling unless you've got the approved concession. So this is where the markets and institutions that we've been dealing with now come back to us because we're coming now to the serious stage. And what we're gonna see moving forward is we're gonna be seeing a lot of work. One of them now is geophysical work. We're now doing what you call a LiDAR survey over nearly 300 square kilometers covering URU and the outer areas. And then we expect to be drilling in Q1 of next year. That's very exciting. And if Max Resources Corp were to compare itself to competitors in the mining sector, what would you say sets you guys apart? Well, what sets us apart is the two largest copper basin or sedimentary belts in the entire world. One is in Poland, the other one's in Africa. And the last major discovery over the last 20 years was by a company called Ivanhoe Mines. And that was in that African belt. We believe that this belt is very, very similar. And the type of discovery scale we're looking for is a similar size to Ivanhoe Mines. So that's up here. That's what we think we, even though early stage, that's what we think we have the early stage or the prospectivity. Brett here at RichDB Live, we love to understand the fundamentals of the company. Can you go through the capital structure of Max Resources Corp for our viewers and how you plan on attracting more institutional alongside more retail investors? Okay, so right now we have a share base or 100 million shares issued. We've got a market cap of around 20 million, which is very cheap for where we are at the moment. We already have some institutions. There's a well-known investor named Eric Sprott. He came in at a price of 24 cents, which is around what we're trading at the moment. We also have a number of institutions in the US and in Europe. They're only really dabbled in the water at the moment, but now they're coming back to where we think we can grow that institutional base specifically from our milestone of now direction into drilling. Fantastic. If there was one thing you would want investors to know about Max Resource Corp today, what would that be? What you need to know about Max is we have our website, but to me, the two most important agreements are one, successful management and number two, in relation to what is being looked for in copper in the world, it has to have scale. And they're the two components we've got is the management and the potential of scale. And because with these copper discoveries that are required, there is no new deposits. So the big boys have to look at early stage and they are not interested unless there's significant upside on scale. What is the best way for investors to get in touch with the company, Max Resources Corp, if they have any questions? For any questions, you can either go through our website or you can contact us on info at maxresource.com and we can send all the news releases, the background of the company and there's one further conversations you can contact us through the website. Fantastic. Now, I must remind everyone that Rich TV Live is strictly for information and education purposes. Past performance is not always an indication of future results. Please do your due diligence, do your research before you invest in anything we talk about or discuss here on Rich TV Live. In saying that, I do believe this is a company that is undervalued, underappreciated and underexposed. Please put it on your watch list, put it on your radar. And we love to identify companies first. We've been doing it for a long time and I believe that we do it really, really well. If you like these videos, please smash the like button. Comment down below, share the video everywhere and subscribe for future updates. And thank you for joining us, the CEO of Max Resource Corp today, Brett Matich. Thank you. Thank you for joining us, Brett. And thank you guys for watching. If you're not winning, you're probably not watching. It's your boy, Rich from Rich TV Live saying, have a nice day everybody and we'll see you soon. Look forward to another conversation, Rich. Yes, we'd love to invite you back again in the future, Brett. If you have any big breaking news or anything you wanna discuss, we'd love to invite you back on the show. And thank you for your time today and continue all your hard work. And we'll be watching very closely. Later pleasure. Thank you.


I want to begin today with the error of best relations, which are one of the ways of understanding the class connected to quantum mechanics. To be specific, we'll deal with a Hamiltonian of three dimensions, which is a potential Hamiltonian common case like this, 3D. And I'd like to begin by writing down Heisenberg equations of motion for this Hamiltonian. So the equations of motion are that x dot is minus i h bar times the commutator of x with Hamiltonian. Similarly, the time derivative of momentum operator is minus i h bar times the commutator of momentum with the Hamiltonian. And this is the Heisenberg equations of motion. And so it's understood that these operators, x and p and Hamiltonian also are all in Heisenberg's picture, although I didn't put it in the substrate formula. I'll remind you that in general there's another term involving an explicit time dependence. You can have it like partial x with respect to t, but since both x and p have no explicit time dependence, those extra terms don't appear. And this is all there is to the Heisenberg equations of motion. Now, in order to evaluate these commutators on the right-hand side, we need to do that to get the equations of motion explicitly. Let's notice that the kinetic energy is a function only at the momentum, whereas the potential energy is a function only in position. So the position operator commutes with the potential, but not with the kinetic energy. And likewise, or conversely, the momentum operator commutes with the kinetic energy, but not with the momentum. So to evaluate these commutators, there are some commutator results that are useful to use for this, which I'll cite for you there. If we take the commutator, one of the components of the transition was some function of momentum, I'll call it f of p. The result is i h bar times the derivative of f with respect to t i. Likewise, we take the commutator of one of the components of momentum with another function, which I'll call g, of position. The answer is minus i h bar partial of g with respect to x of i. And these are results which I will prove. I'll leave this as an exercise for you. I'll just remark that you can prove it by going back to the definition of a function of an operator which was presented in the first seven notes in the mathematical section of the notes. In any case, using these commutators, these general commutators, these specific ones are easy to work out. And they turn into this, that x dot is equal to the minus i h bar cancels with the plus i h bar here, which would end up with as x dot is just equal to the momentum p divided by the mass. And you have p dot is equal to minus the gradient of the potential evaluated in position x like this. And so these are the Heisenberg equations of motion for a particle moving in a potential in three dimensions. What's striking about these equations is that they have exactly the same form as the classical Hamilton's equations in classical mechanics. Just with reinterpretation of symbols, this is the same as classical Hamiltonian. Hamilton's classical equations are that x dot is equal to the derivative of h with respect to momentum. And then p dot is equal to minus the derivative of h with respect to position, which for this particular Hamiltonian gives you p over n for x dot and minus the gradient of p for p dot, which is the function of x. And so they have exactly the same equations. Well, they're not the same really because these equations are operator equations. These are the time-dependent operators in the Heisenberg picture. So these are things that act on this infinite dimensional ket space. Whereas these equations involve numbers. These are what you might call c-number equations, classical equations. The vectors here are vectors of ordinary numbers and not of operators. These can be regarded as q-number equations where I'm using Durak's terminology distinguishing between q-numbers and p-numbers. But still, it's striking that exactly the same form. It's just reinterpretation of the symbols takes the classical equations into the Heisenberg quantum equations. All right. Now, we can take these q-number or Heisenberg quantum equations and convert them into c-number equations just by taking expectation values with respect to some states. So let's say we have a state, let's call it psi. I'll put in each subscript on it because it's in the Heisenberg picture. But let's take these Heisenberg equations and sandwich them between psi h on the both sides in order to get expectation values. So if we do this, let's start with the x-dot up here at the top of the Heisenberg equations. If we do this, then we have psi h on the left x-dot in the middle of, let me write it as d dt of x to make it more explicit. And the x, I'll put an h on it to remind us that we're in the Heisenberg picture. So for the x-dot chart, this is the expectation value we get. Now, the Heisenberg bras and kets are independent of time. So the d dt can be taken out. And this becomes then d dt of the expectation value in the Heisenberg picture of just a tax operator like this. However, I'll remind you that expectation values are the same. We've got the Schrodinger and the Heisenberg pictures. So this is the same thing as d dt of psi Schrodinger, x Schrodinger, psi Schrodinger like this, completely in Schrodinger picture, in which now, of course, the time is shifted over to the kets, the kets on the bras. And the xs is now time independent. Let's just abbreviate this by writing which is d dt of the expectation value of x without being specific which picture it is because it doesn't matter which picture it is. Alright, so let's do this then. Let's take this psi h bras ket and sandwich it around both sides of both these equations. These are the Heisenberg equations in motion. And if we do this, it turns into C number equations. So it's all right out here. So the first one becomes d dt of the expectation value of x is equal to the expectation value of momentum divided by mass. The second one becomes d dt of the expectation value of momentum is equal to minus the average value or expectation value of the gradient of the velocity as a function of position like this. So these are the expectation value equations we get. So by this procedure, we've converted the Q number equations into C number equations and the classical equations into C number equations. So are these new equations the same as the classical equations now? The answer is no because it has to do with its potential energy. The reason this is that the average value of the expectation value of the gradient of the potential of x is in general not the same thing as the minus sign here. The gradient of the potential is evaluated at the expectation value of x. Those aren't the same thing. If they were the same thing, then what the classical x's and p's are replaced by expectation values, both in vectors and C numbers, then we would have exactly the same equations. And then we could say that the expectation values in the quantum problem fall into classical motion. But because these two terms are not equal in general, that's not true. You'll hear people say, the error-infested relations say that expectation values fall into classical motion, and that's actually not true in general for the reason I just pointed out. Nevertheless, it is approximately true into some circumstances which Elmer is playing. So the circumstances of this, let me sketch a potential energy of x like this. Let's say we've got some potential. Excuse me, let me do it this way. What appears here is the gradient of the potential, so it's a vector and that's three components. That's, of course, classically the force. Let me take a function, let me just call it a function of x, half of x like this, which could be any of the components of the force. And let's say it's got some shape like this. All right. Now let's suppose that the wave, so this is the function f of x. I'll sketch this in one dimension although the equations here are three dimensions, three dimensional. Now let's suppose the wave function of x is a wave packet which is localized. Let's say this is psi of x like this. And the way I've drawn it is that the psi of x is the spatial extent of the wave packet is small compared to the scaling of this function f. Anyway, the expectation value of the position of the operator x is just sort of the center of the wave packet. Let's call it x0 here. x0 is the same thing as the expectation value of x, which is an integral of dx of the square of the wave function psi times x itself. Let's call that x0. And if we look over the extent of the wave packet, the potential is almost constant over this because it's a small variable. And so it's clear from the diagram that the average value of f of x is approximately equal to f, evaluated at the average value of x under the circumstances that I've sketched here. Just for the graph. We can be more quantitative about this. However, we can take the expectation value of f of x. This is the integral over x of the square of the wave function psi times f of x. And since we're only interested in a small range of x's around the center of the wave packet, let's expand f of x about that point x0 and replace it by f of x0 plus x minus x0 times f prime of x0 plus second order terms, which I will pop it right out. Then we're doing this, did not do the integral over this series expansion of the function f. We're expanding the slowly varying function you see. The first term f of x0 is constant. So when you do the integral, you can take the f of x0 out of the integral. What's left is just the integral of psi squared, which is 1. So the first term is just f of x0 itself. As far as the second term is concerned, again, f prime of x0 and x0 are constants if you've taken out the integral. As far as the x itself here, you've got integral of psi squared times x. Well, that's the same thing as x0. It's the expectation value of x. So what happens on doing the integral is that x gets replaced by x0, x0 minus x0 is 0, and the entire first order term vanishes. It goes away. So even if I took into account the slope of the function, I have to still get a 0 here. The first non-zero corrections are at the quadratic border, which I won't probably write them out, but there's quadratic corrections there. So what we see then is that if the summarized it, that is the average value of f of x is equal to f is evaluated at the average, the average value of f of x is f evaluated at the average value of x plus quadratic corrections. So this inequality does actually a good approximation if the weight function, let's call it a weight packet, because it's localized, has a spatial extent small compared to the scaling of the potential. And in that case, we could then approximately replace that expectation value with that one, and the result will be is that approximately the expectation values in the quantum problem do follow the classical orbits. At least this is an approximation. Now a further remark here is that there are some circumstances in which approximation is exact, and it's easy to see what they are, because if the function f, I sketched it here as being kind of a curve, but if the function f were a straight line, that would mean that its Taylor series expansion terminates at the first order. So there wouldn't be any quadratic corrections, and this calculation we went through would be exact with f of x0 plus 0. And so for a linear function of x, this relationship is exact. Now the function f that we're talking about here is interpreted in the board above as being one of the components of the gradient of f. That's to say it's a force. So if the force is a linear function of x, then this becomes an equality here. So let me go back to the old board here and say that this becomes equals, this becomes an equal sign. Under certain conditions, the conditions are as if the components of the force are linear functions of positions. So this is a three-dimensional problem. If the force is a linear function of position, it means the potential is a quadratic function of position. So this will be true. The potential v of x, this is now three dimensions, has the following form. I'm going to write down the general quadratic function of the position coordinates x, y, and z. The sum of i and j is some matrix that's called aij of xi and j. That's a quadratic term, plus a linear term as the sum of i is some coefficient of di times xi, plus a constant term c. So if the potential has this form, it's a general quadratic polynomial of the coordinates x, y, and z, then the error-infested relations are exact, wave packets, or expectation values of the quantum wave functions do exactly the following classical motion. And by the way, I almost had a verbal slip there because it doesn't even have to be a wave packet. You see, this condition holds, regardless, it doesn't have to be a packet. The termination of this packet determines the linear order. This is true for any wave function. And so for these types of potentials, expectation values always follow the classical motion. Now, this includes several problems of interest. In the first place, at the right-hand side, it's zero. You've got a free particle. In that case, for a free particle, this is true. Expectations follow the classical motion. If we have just the linear term here, that includes a case of a particle in the gravitational field, a uniform gravitational field, or a charged particle in the uniform electric field. Or if we have a quadratic term, that includes harmonic oscillators of all kinds because we've got three dimensions and the matrix can be anything here, not just simple harmonic oscillators. I'll mention one more thing, too, which I will approve, is that it can be shown that the error-infested relations, the expectation values follow classical motions. In a general case, if the entire Hamiltonian is an arbitrary quadratic function of positions and momenta, including momenta as well, where even cross terms p times x's are allowed, then that includes the important case of the particle in the uniform magnetic field. Although I won't prove it as to be true, the error-infested relations are exactly the same. So what are the error-infested relations? The error-infested relations are the error-infested relations would be replacing the classical equations of motion by expectation values. Maybe I'm using this in a sloppy way because I can refer to these equations as the error-infested relations which are exactly quantum mechanics. They do not, however, as I just explained, they do not know how to say that expectation value is called classical motion unless this Hamilton is starting to replace my equation, which it can in this case. Alright. Okay, so that's all I wanted to say about error-infested theorem or error-infested relations. These are, as I say, one of the ways of understanding classical whether it's quantum mechanics or evolution of expectation values. I'd like to say some things about particles in magnetic fields. Let me begin with the classical case of a particle in a magnetic field. A particle in charge of q in a magnetic field then classical equations of motion are the, I call them the Luglorens equations, force equals mass times acceleration which is the charge q multiplied times the electric field plus the velocity here to c cross into the magnetic field. The electric and magnetic fields of course are a lot of the questions of space and time. And so this is a classical equations of motion. These equations can be derived from the classical Hamiltonian. The classical Hamiltonian is this. It's 1 over 2m, momentum p minus q over c times the vector potential a which in general is a function of position of time. That whole thing is squared plus the charge q times the scalar potential which I'll call capital 5 which in general is also a function of position of time. Anyway, this is the classical Hamiltonian for motion of the charge particle in a given, we might say external, given external electric and magnetic fields. Electric fields and magnetic fields are expressed in terms of the potential by e as minus gradient of 5 minus 1 over c to the a to the t. Standard results of electric and magnetic theory and d is equal to the curl of a. One of the strange features of this classical Hamiltonian is that it's expressed in terms of potentials. Maybe that doesn't surprise you by the scalar potential because you're used to potential energies but now that you've got a magnetic field you need the vector potential also. This is in contrast to the Neumann's equations of motion which involve the electric and magnetic fields directly not potentials in relation to being given by these lower equations. You have to use potentials given in classical mechanics if you want to break down our Hamiltonian. Here's another thing to pay attention to. If we take the Hamilton's equations of motion this whole board is classical here up to this point. x dot according to Hamilton's equations is d h d p the momentum and if you do the derivative here which we get is 1 over m times p minus q over c a to the mass of the potential and x dot of course is the velocity. So if we take this equation and we solve for the momentum as a function of the velocity what we get is p is equal to the mass times the velocity q over c times the vector potential which in general depends on space and time and so you can see right away the momentum which appears here in the classical Hamiltonian is not the kinetic momentum which is just the first term but it's rather the canonical momentum it's the whole thing. So pay attention to the difference between the kinetic momentum and the canonical momentum when you're dealing with problems where there's a vector potential. There's no magnetic field around. So if there's no magnetic field if they were equal to zero most people would say oh let's take a equal to zero also then we can forget about this whole magnetic field vector potential stuff. As we'll see in a couple of lectures however there's an interesting an interesting physical situation that's going to be hard enough both of that in which we have a magnetic field equal to zero not equal to zero. So actually necessary to do with that case. So in any case in any case the momentum here is the canonical momentum. By the way once we do that once you recognize if p is the canonical momentum and velocity is given by this expression there's another unneeded conclusion which is that this entire first complicated term of the Hamiltonian if I wrote it in terms of the velocity instead of the momentum where the point is this entire expression is a complicated way of writing the kinetic energy. The kinetic energy is not p squared over 2 a there's a vector potential around it's this whole expression that's physical meaning though. Alright now there's another interesting another point that I need to make which is the potentials a and pi are not unique if we pick a function of position in time function this is a think of this as an arbitrary function it's a function I'll call the gauge scalar using the gauge scalar it's possible to convert old potentials into new ones the rules are this is that a prime a new potential is equal to a plus the gradient of f and pi prime new scalar potential is equal to pi the old scalar potential minus c d f d t these are the expressions for a gauge transformation in the center of the gauge transformation in electric magnetic theory but if you make these changes like from the un-prime to the prime of the old and new potentials what you find is the electric and magnetic fields are varying the prime and un-prime versions of them are the same well the electric and magnetic fields are directly measurable in that sense they're physical fields and you can measure them by looking at the four sum charged part of them but the fact that so they don't change what's physical does not change in the gauge transformation but the potentials do change and so the potentials have what we might say is a non-physical element in fact I think it's useful to think about the potentials this way is to say that they contain both the non-physical element and the physical one they contain the physical element because by taking derivatives of them you get the measurable fields which are A and B but they contain a non-physical element and that's what changes when you do a gauge transformation so there's a redundant mathematical description of the symbol physical reality which is the E and the B fields and as I said it's an interesting fact that the Hamiltonian requires the use of the potentials another way of saying this is there's no such thing as a 5 meter or an A meter there's no way to measure 5 or A with some kind of a meter well you might say oh I've got a voltmeter I can certainly measure the potential with a voltmeter can't I a voltmeter has two connections there's no voltmeter with just one wire so you don't actually measure 5 in one place which measures the difference in 5 between two different places by the way that's only works for static or at least slowly varying since it's only really only valid for like the static approximation anyway so I go back to the same statement there really is no such thing as a 5 meter or an A meter alright so that's some review of classical electromagnetism and motion of transpirals and so on now what we do in quantum mechanics is what we're going to do is we're going to take this classical Hamiltonian and just like we did with the kinetic plus potential Hamiltonian to provisionally adopt this Hamiltonian as a quantum Hamiltonian by reinterpretation of the symbols the same issues arise so without changing the formulas by just reinterpreting the symbols this now becomes a quantum Hamiltonian when we do this of course we have to ask if it's physically correct I explained last time that this we're talking here about the process of quantization and we're going from classical mechanics to quantum mechanics there's new physics in quantum mechanics and so whether the answer is the right one for quantum mechanics or not is something you have to determine by experiment the fact is that if you borrow this Hamiltonian into quantum mechanics in some cases it's actually not so good for example for the case of an electron in magnetic fields you'll find that the energy levels are not even qualitatively correct if you use this Hamiltonian and the reason is because of the fact there's of course a non classical effect for a spinless particle it works better so let's just say that adopting this Hamiltonian into quantum mechanics is a provisional step sometimes it's alright later on we'll consider the physical effects that are needed to really take into account in various situations alright so in quantum mechanics then now this is our Hamiltonian equation out now and the configuration representation as a differential equation you see it's not going to be this the h psi equals i h bar e psi dt becomes a more explicit form it becomes minus i h bar gradient the whole thing under brackets whatever it's to them minus q over c times the effect of potential a of x and t this whole thing squared and you have plus q times the scalar potential of i of x and t called the line psi of x and t and I think into i h bar d dt of psi of x and t this is kind of ensuring this way adopting this Hamiltonian for a particle moving in a three-dimensional charged particle of three-dimensions and together let's say external electric and magnetic fields one of the questions that arises right away is what's the role of the choice of gauge in the quantum problem again the Hamiltonian is expressed in terms of potentials not in terms of magnetic fields and the potentials are not unique so what happens if you change the potentials from a to a and phi to a prime and phi prime does the Schrodinger equation even invariant does it the same Schrodinger equation in new gauge the answer is it isn't exactly invariant that means it has the same form in the new gauge as it had in the old gauge but in order to achieve this covariance in other words to preserve the form of the equation it's necessary not only to change the potentials for the electric and magnetic fields in terms of this gauge scalar but it's also necessary to change the wave function in fact here's how the wave function transforms under a gauge transformation which is the old wave function the value of f of x and t is equal to the new wave function called the sine prime of x and t times e to the i charge q gauge scalar f of x and t divided by h bar c this is the gauge transformation of the wave function which needs to be coupled with these transformations of the potential now you just did a homework problem in which one of the questions was what is the function of the phase of the wave function look what the gauge transformation does because it changes the phase of the wave function in a spatially dependent manner in other words the related phases of the wave function in different spatial points two points in space I hope you know by now from that homework problem that you can only measure the phase differences between the wave function and two different points in space the value of the wave function is non-physical what you now see is the relative phase in the wave function between two different spatial points actually depends on the gauge depends on your gauge convention for the vector potential that you choose to be like the magnetic field this is true for a charged particle the q is charged well this seems crazy but in fact it's true in that homework problem we were thinking of there was no magnetic field in fact it was really free particles and so the implied gauge was never mentioned in the homework problem the implied gauge was that A was equal to zero and so the measurement process that if you worked it out to the right way to do it is to get it by a double hole experiment looking at interference that double hole experiment is going to give you the phase of the wave function under this gauge convention for a vanishing magnetic field I don't know anyway I think I'm going to skip the algebra because it's entirely straightforward however I'll just say that if you take this change for psi substitute this psi in here and everywhere else that you see everywhere else you see in this equation for both sides and you do the algebra grind through the derivatives there's a time derivative and a spatial derivative what you'll find is that there's a common factor a basic factor like this that can be removed from the Schrodinger equation and when you're done you get a new equation in which the vector and the scalar potentials are prime and so is the wave function anywhere goes into its new equation like this so this is what I mean by covariance the Schrodinger equation maintains the same form the algebra this is contained in the notes and it says it's completely straightforward I don't understand how this is possible you should have sorry we have a gauge choice which would be something that all are true at the same time any gauge choice is accurate so how can a wave how can the phase of the wave depend on the gauge choice that I made just to make my math easier that's a good question if you think about this is actually related to you're asking how can a phase depend on this well think about how you measure the wave function in that Humber problem you measured it by having an interference we had two holes here we wanted to know the relative phase between two points on the screen and the way to do it is to punch holes in the screen and then look at the so you've got waves radiating out like this and then you look at the interference pattern that's down here on the lower screen you can by measuring the phase differences you can get the difference in the cases but in order to do this you need that in order to count the phase difference in the number the number of wavelengths along this segment and along this segment subtracting until you get the phase difference in the two points this is a standard interference between two points but as I say you have to know how the waves are going to propagate in this region well if you change the phase convention let's say in that Humber problem the implied phase convention change the gauge convention in that Humber problem the implied gauge convention was at A equals zero because we didn't have any magnetic fields so why not take A equals zero and if you do this and these waves are dispersed in waves you get the lapse phase just by counting the distance and dividing by the wavelength sure but the results of that should be the exact same thing this time but it should always be the same thing but it's not you'll find the phase is different if I put a non-zero vector potential if I put a non-zero vector potential A it's not equal to zero but we still have a magnetic field equal to zero this implies that A is actually equal to the gradient of the gauge scalar it's a different gradient in that case you'll find you have to take into account the elapsed amount the elapsed variation of the gauge scalar between these two points how would you perform an experiment to tell what danger? you can't you can't but the experiment is not just an experiment measuring something, it also involves a theory about how the wave propagates from that hole down to this lower screen and you can't do that without having a theory of propagation this is one of the ways why measuring wave functions in quantum mechanics is completely different from measuring a classical field all you do is just measure it if you want to find the phase of an electric magnetic wave in a classical E&M you don't need to solve Maxwell's equations you just go measure the electric and magnetic fields this is different that is one of the points of that problem it's just to emphasize that wave functions are not the same as people think they are it's what they don't think about it very much but the quantum wave function is not just some complex field out of space if you go measure the side meter or something, it doesn't like that at all that's all for a problem with electric and magnetic fields for now, we'll come back to them and actually deal with it in more detail in a few more lectures down the line but right now I want to address a few other issues one of them is I'd like to tell you about just some simple matters involving solving the Schrodinger simple matters that arise when you solve the Schrodinger equation in one-dimensional problems let's take just simple 1D problems and I wanted to make just a few comments about the Schrodinger equation in fact, this is going to be the time-independence Schrodinger equation so it's kinetic energy most potential energy by size equals to a total energy this is the problem of quantum energy I do function in one dimension the first question I'd like to address is the question of the generacies when do we have the generacies in one-dimensional problems like this so to begin with let's suppose we have a solution psi of this equation which I just wrote down and let's suppose we have another solution which I'll call pi of the same equation if these two solutions are linearly independent then we have the generacies to analyze when this is possible let's take the first equation multiplied by phi and the second equation multiplied by psi and then subtract the two if you can do this then we get phi psi phi psi on both potential energy and total energy terms so we use to crack those drop out and all that's left of the second derivative terms where there's a common factor of minus h bar squared over 2m so doing this fraction what you get is that phi times psi double prime minus psi times phi double prime is equal to zero this however is also equal to the derivative of respect to x of a quantity called w w is given a name it's called the once again of the equation and in fact what it's equal to is phi times psi prime minus psi times phi prime now we're only going to derivative you take the derivative of this the second derivative is one of these second terms of the derivative is the first terms of cancer this is an exact derivative this can also by the way be written as a determinant of phi phi prime in the first row that's psi prime in the second row anyway the point of this is that the Ronskin has a derivative which is equal to zero so the Ronskin is a function of axis of constant let's suppose so this is always true if I have any two solutions of the one dimensional Schrodinger equation now let's suppose that we have psi of x zero let's suppose if there exists some x zero such that x zero is equal to five x zero equal to zero in other words let's suppose that the solutions vanish at the same point x zero where this happens is typically due to boundary conditions if you have for example a hard wall like this then wave machines have to go psi and phi they both have to go to zero at the same point x zero which is the wall another place where this might happen is if you have a potential energy via an x which is well like this and then you know you've got a fearsome energy like this and you know you've got a wave function of rices and oscillates like this and then outside the classical region of Geisson exponentially so this is a place where the wave function has to go to zero both psi and phi go to zero as x goes plus or minus infinity this point x zero could be infinity it doesn't matter as long as this condition holds at the same point x zero this implies that the Rundstein is equal to zero because the Rundstein is called psi and phi are zero and you can get the point from the whole Rundstein to zero so this implies that w is equal to zero but this implies since w is this quantity here it implies that phi psi prime is equal to psi phi prime and that implies that psi prime over psi is equal to phi prime over phi that implies that the logarithm of psi is equal to the logarithm of phi plus constant and that implies taking exponentials that psi is equal to c times phi and so what you see is is that under this condition which I'll now box here this implies that there is no degeneracy because any two solutions are necessarily proportional to one another one degeneracy and so in particular if you've got a hard wall problem or if you've got a problem where the wave function is a compound so that it dies off exponentially outside the well then these are necessarily non-degenerate solutions in one dimension in fact it doesn't have to die off to zero at both infinities it just dies off at one infinity that's enough to make it a non-degenerate so to give you another example of what you're doing I suppose I've got a potential energy that looks like this here's x or v of x let's suppose potentially it's mostly zero negative that's going to rise up like this so it's a mountain of the particles being scattered again so you've got an energy like this coming in well in this case the wave oscillates like this turns up towards the turning point and then it dies off exponentially in this direction so here the wave function goes to zero as x goes to plus infinity it's still enough it still means there's no degeneracy so it's true for bound states but it may also be true for unbound states if the wave function dies off at infinity or if there's some hard wall then there'll be no degeneracy on the other hand suppose the wave function does not have any boundary conditions of course it goes to zero degeneracy the answer is s but let's just take a case of a free particle which is doing this forever in this case for a free particle there's two solutions either the IKX and the minus IKX these have the same energy but they are linearly independent so you do have a degeneracy and the same energy linearly independent therefore there is a degeneracy of this theorem or not that you may have changes shouldn't everywhere known but for unbound wave functions that cause an energy such as in the case of the free particle they don't die off those are not normalizable but this one is also an unbound wave function and it's not regenerative because it dies off at one infinity alright here's another little theorem a non-generative wave function psi in one dimension which is most of what we're talking about up here can't be chosen to be real well as they can be chosen you can always of course choose the phase the overall phase of the wave function it might mean that by choosing the overall phase if some algorithm psi came up to be complex you could eliminate the complex numbers just by multiplying by an overall phase factor this is related to this earlier result here what one needs to show is that both psi and psi star if there's a non-degeneracy they satisfy the same Schrodinger equation because Schrodinger equation is real and I could care about the above if they're non-degenerate and they're proportional to one another and one can show by factoring on a phase factor to make them real I'm not going to go through the details of this because number one it's in the nose in the case of the reality of wave functions when systems are invariant and they're time reversal and this is something we'll delve into in more generality later in the semester but right now I just want to mention the result you see by the way that in this degenerate case here the wave function is not real it's a fact complex although you can make linear combinations to get real wave functions if you want however the theorem both does apply so that you've got non-degenerate wave functions then you can choose to be real so I'll state wave functions in one dimensional wells you can always make psi real those are the main things I wanted to say about some topics in one dimensional wave paths next I'd like to make the beginning at the time it's left this hour a WKB theory which will occupy us some let's hear it more so let's talk about WKB theory WKB theory for our purposes in quantum mechanics in general really has two roles one of them is to supply a conceptual framework for understanding the classical limit of quantum mechanics the error infestation which I described earlier in the hour another way of understanding the classical limit about the evolution of wave packets following classical orbits in some approximation WKB theory is actually deeper it's a more sophisticated theory and it gives us more insight into the relation between classical and quantum mechanics there's a second purpose of WKB theory which is it allows you to approximate the solutions of a quantum problem in terms of the classical solutions this is what we'll see now these are what you might call the practical applications of WKB theory these practical applications are usually restricted to one-dimensional problems a multi-dimensional problem is more sophisticated so we won't go into them in this course so I'm going to make this lecture primarily, we'll follow your lectures primarily on the one-dimensional case just a few mentions of the three-dimensional case, the notes have a little bit more of the three-dimensional case so first of all let me describe for you in the pictorial qualitative terms when WKB approximation is valid so I'll be talking about what we will make for now so to begin with let's suppose we have a potential energy it is a function of x and by the way the equation will be understood in solving just the one-dimensional Schrodinger equation so we'll do this one let's suppose we have a potential energy which roughly looks something like this it has some potential like that then under many circumstances the wave function psi is matched on the same x-axis looks something like this there's first of all an envelope which all make a kind of dotted line and makes a mark like this I can draw this very well and then inside the envelope there is oscillations that go back and forth and fill in the envelope like this there are many circumstances in one-dimensional quantum mechanics when you get solutions that look like this I'm not thinking of a time independent case but this also is true of a time independent case as well now let's say that the potential energy here has got some particular scale link which something like this a link over which the potential varies significantly so let's call the hell as the scale link of the potential the wave function of it and it has these oscillations which have their wave link which is mass that is the wave link which is my way to go back to the scaling L the scaling L is the link of which the potential varies now the there is a circumstance like sketching here the wave function has the form of a modulated wave it's kind of like an FM wave signal and the envelope of the wave has the same scaling as a potential itself just the way I sketched it here I'm going to have the wave link of individual oscillations is a much shorter scale than I've drawn here it's lambda now by the de Broglie relation if we use the de Broglie relation lambda is the same thing as 2 pi h bar over an associated momentum p the de Broglie relation is usually thought of in terms of plane waves or free particle solutions which is not what we're talking about here here however this wave link actually changes as you go from one part of this envelope to another in fact the wave link lambda has the same scaling as L it changes slowly on the scale of L and so what this means is that the momentum of the de Broglie relation is actually a function of x so this thing implies that there is some momentum function of x let's say p is p of x which is associated with this wave function of this type one of the things we want to do is to understand what does the meaning of this momentum function of the momentum as a function of position let's see this come out in just a moment alright now the next thing we'd like to do is to write down what we call wk beyondsatz which is a representation of a wave function of the momentum of a wave function that looks like this so right inside of x in terms of an amplitude we don't call a aatz which we understand to be slowly varying slowly varying means on the scaling of capital L multiplied times a rapidly varying phase which all runs exponential of e to the i times the function s of x over h bar now let me explain why I put s of g let me explain why I put this phase factor for a rapidly varying phase in the first place the wkb approximation is going to be valid when the deroy wavelength is much less than the scaling of the potential those are the conditions of validity on the wkb approximation this is of course the same thing as 2 pi h bar divided by this momentum p is much less than l only equivalently it's 2 pi h bar is much less than p times l now sometimes the way people state this is they say wkb approximation is valid if h bar is quote-unquote small I put this in quotes because h bar is not a dimensionless number this numerical value depends on the units you use if you use typical macroscopic units like grand seven years and seconds then h bar d has a small numerical value but you can invent other units in which it's got a large value so there is no absolute meaning to small however in a distance interval to compare h bars these have the dimensions of actions such as the momentum times the length if you think of a momentum and the length if you're asking classical quantities this length is a classical quantity because the scaling of the potential and the conditions of validity in wkb theory are that actions that occur in a classical problem are much larger than h bar and in fact this is normally what you'd expect in a classical limit of ordinary classical systems typically in terms of rams and centimeters and so on but the small value of h bar means that classical actions are small so the small h bar limit is equivalent to a classical limit now let me proceed a little further with this explain why this phase factor here represents the rapidly varying phase like we see in this picture over here let's consider the change in a phase that appears here let's consider the change in a phase over a single wavelength lambda now that change has to be too high because that's an advance of too high of a single wavelength so let's say this holds when delta x is equal to lambda but we take this as of x and and expand and I'm just using it as first derivative and the left hand side is approximately the same thing as s prime of x times lambda divided by h bar and that's equal to 2 pi and so the result of this is that s prime of x is equal to 2 pi h bar over lambda and you'll see that's the same thing exactly the same thing as this momentum function p of x which was emerging by using the De Broglie relation on this wave here so how does this interpretation of this function as of x is that its derivative is this momentum function which we still need to interpret what it is but it connects this momentum function to the phase of the wave function here ok so that's all for today let's continue with this next one


t Three to four years about the issues arising from the ongoing residential development activity I want to thank you again for the opportunity to address these issues tonight I have some brief remarks and would then be happy to try to answer any questions you may have Um This article's primary Concerns include creating the ability of residents to have input to the development changes occurring in their neighborhoods To preserving their quality of life and character of the neighborhood and to minimizing impacts Both temporary and permanent during construction and redevelopment The purpose is to allow owington to develop and change as it naturally should While balancing the interests of current residents and the development and real estate communities I believe current residents have an expectation That the negative impacts to their homes and neighborhood from significant construction and our development activities Should be minimized to the extent that it's reasonable Some some background Briefly numerous zoning and administrative issues concerning tear downs McMansion type construction and resident neighborhood quality of life were presented at the 2016 town meeting While specific article warrant articles were discussed none were adopted However, the town meeting established an informal committee to look into these issues. It was called the residential study group The rsg under the direction of the planning department proposed for the 2017 town meeting Covering issues regarding parking driveway slope and pre-construction notification Where the good neighbor agreement resulted from that these articles were passed in the 2017 town meeting However, many of the primary issues That prompted the formation of the rsg remained Uncompleted and are uncompleted to this day when the rsg was unilaterally dissolved by the planning department last spring These unresolved significant issues include proper notification to a butters prior to project commencement The good neighbor agreement was passed. However, from a citizen information That was gathered from town records and presented to the redevelopment board last year The gna at best Has been only about 15 to 20 effective in providing the required notifications to a butters So in addition to that follow-up with residents where the gna was fully implemented Was planned I think to go ahead and hadn't and should be done to assess its effectiveness and outcome Such that if there should be modifications to this act It can be made and made more effective A second issue is environmental and public health impacts during teardown demolition excavation rock removal and construction An open issue that remained was my understanding that noise debris and safety issues concerning rock removal remain unaddressed And are under docket in town to mitigate situations such as what happened at Irving street a number of years ago Some water mitigation suitable for some new designs is required But I have been made aware by some of my neighbors That they now report having periodic water intrusion into their basements after nearby construction Where none existed previously And as was discussed at the 2016 town meeting very significant quality of life issues Concerning the size and scale of new development continue to be produced by new large-scale construction These include loss of sunlight increased shadowing loss and reduction of sight lines loss of privacy interference with existing or plant solar arrays More importantly All these associated effects are exaggerated and made more onerous when in a butter is on a non-conforming lot Uh, there has been no discussion or consideration of this issue in the town as far as I am aware In many cases new home construction, and I've lived here for nearly 40 years And renovation has been done in an exemplary fashion with significant benefit Added to the neighborhood and it's a butters However, in a significant number of cases issues such as those that I've just discussed above have occurred with both short and long term negative effects In my opinion, it's time to try to mitigate these potential issues with active resident participation and feedback In summary, there is no one body that comprehensively represents residents opinions and concerns on residential development I believe this should be the one that the committee that's being proposed would have that as its primary task I urge the select board to recognize these important residential issues And provide an opportunity to have this warrant article discussed and debated at town meeting Thank you for your attention And I'd be happy to take any questions Okay, and um, we did discuss this this morning and um, I will look to the town manager and town council for anything I Don't remember or don't remember correctly. Basically Um, and this is just an informal discussion amongst that group It's not a representation from the redevelopment board because they've yet to I think they've scheduled the harry, but they haven't had it yet um This warrant article it really is sort of creating I couldn't think of a better word, but like a shadow ARB Everything is pretty much the same in terms of um, what the ARB does with the exception of um, the majority Well, all of the voting members will not be town employees Um, and we'll be members that we get through town meeting in the town moderator Weighing in on matters that the redevelopment board weighs on right now whose members do have specific expertise and in Experience in the area and then the other thing when I was looking at this I was just posing it as questions. So I also pose it to the proponent that To me while it looks like you know, sort of a shadow ARB it bans town employees in terms of holding any voting or Leadership roles, but what it does is in order for this second committee To complete its work. It really is going to rely on the planning department and its employees Who already are doing this work? For the redevelopment board and now what it's going to do is You know, someone said, you know, as it is going to be duplicative work It won't be true to true duplicative work because you could ask for the same thing sometimes But if you're coming at it with a different premise You can't necessarily repeat the same job same task to give the same answer Um, I don't know if i'm encapsulating this correctly. Could I I think you're doing very well Okay Do you want me to add any if you could yeah, I mean I I would Add that I think there's There's governance concerns about the way it's currently laid out I think it looks as though it has been structured to mimic the authority or Run side by side with the authorities and responsibilities of the redevelopment board Um, I think it's important to mention the Arlington members of the Arlington redevelopment board are all town residents um, it's sort of Sounds like there's suggestions that this is a resident group to protect against Some foreign entity that is the redevelopment board and I think it's again important to reiterate redevelopment board members are also town residents I I generally think that there we need to find The proper venue for resident participation and engagement in legitimate residential concerns Impacts of construction aesthetics of construction But uh, there's efforts currently underway that allow for some of that with the residential design guideline effort That's currently underway, and I think there's other ways we could talk about doing in the future I do think again creating A body that would jockey for power With the ARB before town meeting would be a very dangerous precedent from a governance point of view And I would urge the board to at least give that consideration as you're thinking about this Mr. Harg Yeah Sort of a compound that Tom Andrews said we have had we had a joint meeting a month or so back with the ARB The purpose of the meeting was that we anticipated future proposals in the zoning bylaws And as part of that meeting one of the main concerns of both boards was public participation And we laid out a pretty detailed plan To engage the public at every step of the way as the two boards Mainly the ARB but in the select board In conjunction with the select board review would Take the articles that are being proposed and lay them out for public participation and public comment so to the extent this is In response to last year's Tom meeting where some of the residents and Tom meeting members as a whole Thought that there wasn't enough public participation in the proposed articles I don't anticipate that will be the case as you know both boards are sort of moving together on this issue And again one of our main goals is to get public input from all members of Of the town Were you here to speak Before we make a motion you want to come up? Can I have a reply? To the comments that we just made No, no, no, if there's a question, but when there's a question you can definitely respond to it And Why don't we hear from everybody and then I see where we go from there because I just don't want to back and forth back and forth You know, it's gonna Make you all hit every time So sir I live on Irving street And I would like to speak in favor of forming this committee I was a regular attendee at the residential study group meetings And I was very disappointed when it was terminated last year I do not agree with the reason given at the time that had accomplished its mission The concerns of residents That led to how meaning to create the residential study group still exist The purpose of this proposed committee is to continue on with that mission not to Supplement the redevelopment board This board has undoubtedly noticed that an extraordinary number of residents are running for town meeting this year As well as various townwide posts There are several reasons but one is the perception of how well Government is functioning and paying attention to what residents want Forming this committee is a simple way to address some of these concerns Failure to do so will send a far different message Thank you Hello, Steve Revolac 111 sunny side avenue When I first read article 15, I thought that gosh, this sounds a lot like the residential study group and one of my First one of the first things I wanted to sort of I was curious about was you know What is the relationship between this group and the rsg did the rsg? You know, I know they were finished and the group is dissolved But did you know they really finished or is this you know? Well, I would like to thank mr. Paris for For explaining that in his earlier comments Now I do would as a town meeting member I would like to understand the motivation for the group composition that's been proposed So the residential study group had Sort of a broad contingency of people there were there were residents or were planners or were people in the real estate industry and the developers Or in who do property development and from my point from my perspective if you're trying to Work out, you know resolve tension between those different groups Getting the different those different groups talking to one another is sort of a first step I I do I do have some I do question how that's been sort of taken out Of this proposal where it seems to be shedding diversity specifically by Prescribing people who work in real estate or development and and and also town employees Finally, I'd you know just as a again speaking as a town meeting member I'd like to understand how this proposed this committee would fit into just sort of the overall structure of things So the rsg reported up to kind of like the master plan implementation committee, which also fell under the arb I'd like to Understand where this group would fit into the hierarchy and also how they would collaborate and interact with you know With the arb with a planning department with a housing plan implementation committee and with the work that this body is will be Doing with the arb over the next year or two Thank you So I actually have a couple questions for the Okay, so My first question is so how do you envision this group? What do you envision this group's relationship with the arb to be? I envision this group to be in a similar position as to what the arsg was This is not a group that will propose new bylaws or new standards or be able to promulgate them But we'll be able to raise issues that residents consider significant to the appropriate bodies in town So that they can have action on them Part of what has prompted this is the issues I've listed have been around since 2016 Have been adequately discussed at town meeting and in other forums at arb meetings None of these issues have been taken up for resolution In my opinion, some of these are significant issues to residents that exist Currently in town To their quality of life and so forth. So, uh, we're not trying to usurp the arbs duties. We're not trying to Promulgate new laws. We certainly won't have authority to do that We are trying to get independent residents that are not affiliated With the town or with developers and contractors and real estate people to express their opinions as how their neighborhoods are being Proceeded now the issue of not having any developers or contractors on the board. That's not true All the article says is a majority shall be independent residents the other People on the board could be town employees could be people from the planning department Could be real estate Developers and so forth. It only said a majority should be residents independent of any of these ties the balance of the board or the committee can be Whoever decides And I left it up to the town moderator. I trust the town moderator to create a balanced committee Mr. Chapter Lee Thank you, madam chair For whatever it's worth the warrant article directly states that this body would develop recommendations for proposing new zoning and general by-law So that's in direct conflict with the proponents Comments so well then I misspoke. I'm saying we're not we're not the ones creating the new laws. We're creating the recommendation But that's not what that says and the other thing that there was great concern about was in order for this shadow committee to be able to Conduct its activities. It's basically going to Rely on a lot of people through the employees through the Planning department who already are performing a similar function and task With the ARB and and I understand the concerns and that's as mr. Heard my colleague Stated before that's why and I'll have more to report as well the town manager under a new business that we Started the joint redevelopment board select board meeting over at the soon-to-be community center and Had that conversation with citizens and outlined a very Detailed next steps in terms of meetings and meetings with the public and in defining that but I understand what you're saying But it really is Creating another ARB. I know you're saying you're not going to do certain things, but it is in here that says you are So mr. Dunn. I'm sorry You had the floor Sometimes so a lot of times when we have warrant article hearings Sometimes we say okay There's a different way to address this problem and we try to do it without You know making a bylaw change or Doing something like that and I'd say that I have recognized a lot of the concerns that came up Specifically would come up in 2016, but had been there before and have been there since some of the reasons that there's Is there very difficult problems and I don't think that That it isn't that for lack of wanting to fix them, but it is through a lack of difficulty and Just want to are you Did you are you familiar with did you see the joint meeting that we had with the ARB and the plan that we laid out there? I understand. Okay. Good. Um, I apologize for not. I don't remember who's at every Uh Meaning but we have Set on a course. It's like, you know a year year and a half schedule that is meant to really solicit a lot of town input from a lot of different people and then put forward a series of articles and That would You know some of which would be addressing some of the problems you described So I would be strongly inclined to let that process run its course before I tried to uh Before I thought that it was time to try something else Many questions Comments my colleagues. Mr. Curel. I mean, I think I would just echo mr. Dunn's Sentiment here. I'd like to see how that process Plays out and some of the issues that were that were listed are already Subject to public hearing requirements, so anything falls under environmental design review Has to have considerations of preservation of landscape relation buildings to environment Open space circulation surface water drainage Utility service advertising features special features safety heritage microclimate Sustainable buildings site design some of these are some of the same issues that were it Anomalated here. Um, and there There is a a means on a project by project basis to um address those. It's already in law that those have to be um Considered I understand if they're Enhancements to the laws. I mean, I think that's that's probably the part of the bylaw to to um To look at but I would like to see the process that we we've gone through when we went back and forth with the erb and and I think it was very important that we did that too because um It was recognized that I think it was recognized that when some very controversial zoning issues came forward to town meeting last year Quite frankly our voice wasn't there and our voice wasn't there because we didn't have a mechanism to to to um to work through that and In developing that mechanism. I think we Mutually insisted that there be a strong public input component So I'm I'm not inclined to set up another structure and another committee To to confuse that process just as we're getting it off off Off the ground So that that's kind of where I'm at. I understand where what you're the types of things that you bring forward I've loved them I think what I'm hearing is a notion of no action or So I recommend I move we recommend no action By mr. Dunn. Is there a second second seconded by mr. Curell any further questions or comments? If not all those in favor say I I all those pose unanimous vote. Thank you. I appreciate having this discussion We'll continue it's important. No, we'll continue. I'd like to submit my statement for the record Thank you. Thank you very much. Thank you We're getting there mr. Brown I'm sorry. This is a test in case you're Endurance Article 18 vote by law amendment envision arlington updated language I'm julie brazil. I'm the chair of the envision arlington standing committee And I just the memo gives you the sort of the summary and I wanted to show you the red line Just so It was clear We were really just changing a few words here and there The rationale is sort of three parts. Um, there's still a couple places in the bylaw that mentioned Vision 2020 and our name is envision arlington now. So it's nice to go in and tidy that up We also want to go ahead and Update the sum of the specific wording just do some light editing to the nine town goals And then we want to sort of start this process of relabeling the goals so that we all get in the habit of calling them Value statements because that's really what they are Each of the nine statements starts with the words we value so Part of the reason historically that they were called town goals was because in the early 90s This was a really big project Everyone was working on it. It was all consuming for a lot of people and they wanted to be sure that what was adopted Was sort of strong and actionable and so they said town goals They are value statements their vision statements and they're very broad and aspirational that they're not really things you Check off you you're always working to do better to live up to those Uh the values that we aspire to as a community So I think it's really a nice idea here in the 30th anniversary as we go into town meeting 2020 that we go ahead and shift gears And there's sort of two reasons why that's a good thing one It fits in better if you call them vision statements Then when work is happening Exactly the same way that reports and and projects and and recommendations are made to the town By all kinds of committees and departments You have that vision statement the value statement. You have goals that you're working on for the next few years and action steps to Um carry that out By calling it by calling them town goals. It just kind of confuses the process Because they're not goal statements. Um, they're not actionable in the way that a concrete Example would be so for example in the um early reports um in 1993 town meeting adopted The the goal statement, but it's a really a value statement. We value education for all residents The goal in that report was to hire and retain Good teachers and the action step was to do a salary study. So that's a very logical progression And so I really want to try and bring the Envision Arlington group of committees into alignment with the way that really the rest of the town operates So we'll rename them something along the lines of statements are of our community values And then I think that makes it And then the the editing that we want to do is to create a solid foundation because at the time in 1993 It was clearly the idea that the goals could be updated from time to time as as new ideas came along In practice That's really hard because we now have 80-something committees and projects and departments and Um grant studies all the time and it would be really difficult to to invite the public to a forum to talk about Whether we should include sustainability and transportation in our environment goal while we're actually doing that work It's it's confusing to people to stop and worry about the wording when we're actually trying to implement those ideas. So the Perfect world would be we have these nine foundational Values That sort of drive all of our work and and that's happening now I think we're really just trying to get the wording to to Coordinate the open space and recreation plan from 2015 which is being updated now for a new one will be done in a couple years Uses its introduction to talk about The town goals both the culture and recreation goal and the environment goal that sort of Are connected to the work of the open space and recreation plan and so They introduce The goals which are now values and then talk about their sort of their mission which is to Make sure that uh, Arlington's community Gets a greater sense of awareness and appreciation for the town's open space and then the report goes on to layout specific goals for the next few years I apologize sitting here. It's lost my voice So i'm really done. That's really the idea We want to just sort of bring it all in line with the way things are done in Arlington and i'm happy to answer any questions Questions Anyone else here Okay, um, is there a Motion by one of my co-op approval by mr. Curel second by mr. Herd If no further questions or comments on the motion Favoural action by mr. Curel seconded by mr. Herd. All those in favor say aye. All those opposed unanimous unanimous vote Thank you. Thank you Julie we share those red lines next we go to article 22 homeroom legislation for Justin brown Madam chairman. Yes Um, thank you members of the board before uh, mr. Brown speaks I just want to remind the board of the and the public such as it is who are still here Wait one second. I'm sorry. Could you take it outside? I'm sorry. I apologize because I like I have hearing loss in this ear. I can't hear already say could you start again? Sure just before uh, mr. Brown is going to speak I just want to remind folks of the general posture of what's before the board the civil service law in Massachusetts as applied to Arlington Essentially states that in order to sit for an exam for police or fire you have to be Um under 32 at the time you take the exam or the last day the exam is available Um, that can be circumvented by homeroom legislation as it has been from time to time I've outlined some of the thought processes of the board in the past but um I've also included if the board is so inclined to move positive action What that special legislation would look like I would need one detail for mr. Brown Which is his age which has to be put in the special legislation. I wouldn't normally ask So with that unless the board has any questions, I think it's appropriate to hear from mr. Brown Thank you, ma'am gentlemen, uh, I am here tonight to uh, hope that you will consider a home rule legislation that would allow me to become eligible For appointment to Arlington fire department, although I have reached an age beyond 32 and that age is 38 Um My sole motivation really is that I am Very interested and passionate about serving our community and protecting our community at a first First responder capacity I actually started taking the civil service exam back in 2014 I've taken it a number of times since then that was actually the last time I was technically eligible in Arlington, but of course there are other Towns that allow higher age limits I would much rather be Eligible than Arlington if that's possible. I've been here 10 years My family and I love it here and hope to stay here forever And I'd just lastly say that in pursuit of of uh, this I've recently Completed an EMT program. So I'm currently a nationally registered EMT and I'm working through mass OMS to get my Massachusetts state certification And as I mentioned, I've been taking civil service exam since 2014 A quick very brief bit of my own history I have had a career in technology product and program management. Um, I am Uh, the first in my family on my mother and father did not attend a university. I was fortunate to do so and at the time The pressure is positive for sure were to go into a field. That was a good, uh field with a lot of, uh potential In the future that was technology and I'm very proud of my career and Accomplishments thus far. I try to move my career in technology to Better align with with my values. I went from ad tech to National public radio and then went to work at MIT To try to advance an online education all worthy pursuits. Uh, but still Felt a bit empty to me. So this is uh, again since Year a few years back really wanted to serve my community my country help serve Our community and citizens Thank you. Um Any questions comments By my colleagues. Mr. Thank you. I respect your willingness to to serve just a question As to my understanding is there's another civil service exam coming up In march there is one in march. Is that is that your intent to take that exam? Yes, so I intend to take I've signed up to take that exam And the eligibility for that exam I think comes out in august time frame So I believe whatever decision is made here would impact Uh eligibility at that. Okay, and this may be a question for town council, but that exam How long is that list in? From that exam is that a two-year Eligibility for two years after the exam Okay Okay And the reason why I I ask that is for some of the um The other town residents who've come before the board in the past where they've come before and have sought a waiver To the age 32. There's been a sunset provision on it. So in other words that it may be for a period Of a couple years. So if the waiver is granted It would be for as long as the next list is in effect and I don't know if you have any Feelings on on that if if that if we did go that route if that is something that You could agree to absolutely. I think that is is totally reasonable Especially given that the the way the civil service exam works is the two-year eligibility I think fire and police alternate years and then when that uh eligibility list is established It's good for two years and then there's an expiration date. Okay. So that that would Make a lot of sense. Thank you Mr. Dunn, uh, I definitely I've from Long before I was on the board when I was in town meeting I definitely I tend to support these and I support them mostly because I think that the civil service law is Needs a reform and I don't think that it is serving Us or our town employees well in its current form and especially because you know the alternatives to using the age requirement are Not particularly implementable by town. And so I just uh, I much prefer to let the The police chief and then the hiring process find The right people and so I would like to move I would like to recommend the favorable action on this article And definitely including, um, mr. Like a sensible sunset date to be I can do that Second move by mr. Dunn seconded by mr. Hurd And we'll work out what the sunset date is, but I'm hearing up to two years possibly That I want to commend you for doing this. I'm I can tell you personally The first time that this was introduced it. Well It came before as a warrant article and then Turned into the board did it on a case by case basis in the beginning because it was something that I had worked on when I first got on the board and The people who have gone before you really have laid the framework and foundation for this to be an avenue for Really qualified candidates that unfortunately, you know have done everything they could possibly do And because of a certain number That that process ends there and as mr. Dunn said, you know being able to have whether it's police chief fire chief, etc You know at least have a proper applicant pool to consider And I can tell you personally I won't name them in the future if things go the way they should You'll know exactly who they are. They'll tell you but I can tell you on those that I've worked within others, but I've done a lot of work on this. There's some of the best police officers that that we've had on the force and one firefighter, so I want to thank Unless there's any further questions or comments On a motion by mr. Dunn with favorable action with the sunset clause to be termined up to two years Seconded by mr. Hurd all those in favor say aye Those opposed the end miss well, thank you for hanging in there. Thank you very much We now go to final votes and comments article seven article eight Madam chair if it's so pleased as I'd love to have a chance to re-vote to turn these into five zeros Okay, there's a motion to It's not a man a motion to Have the votes reflect a five zero Vote is there a second to that? Okay, any other questions comments If not on a motion to approve as well as to reflect a five zero vote on Article seven and article eight by mr. Dunn seconded by mr. Cure all those in favor say aye. Aye. Are those opposed unanimous vote We now go to correspondence received. We have one piece of correspondence Is there a motion to receive by mr. Carol seconded by Second mr. Dunn Any okay on a motion move received by mr. Carol seconded by mr. Dunn all those in favor say aye. Aye. All those opposed unanimous vote We now go to new business. Ms. Maher Oh, I think you said you didn't we say you're gonna have something. Oh, yes, I did Um, we're looking to put the warrant available online this week And we just want to make sure that everybody on the board is okay But the warrant the way it is now To be posted midweek Is that all right because we're getting a lot of calls. Can you accept nods? Yes, I do accept nods any other new business. No, that's right Attorney hi one small matter as the board knows my office is a little short staffed right now And I really just want to thank the rest of my staff our administrative staff Mr. Buckley paralegal who have really stepped up wonderfully to help fill in the gaps While we're trying to find a replacement for the irreplaceable. Mr. Marlenka. Thank you I'll just add one piece of new business that I know the board is already aware of but it's important to mention That unfortunately we lost our recreation director stacey mollroy to need him to become the recreation director need him But fortunately, uh, we were able to recruit on an interim basis the recently retired fire chief bob jefferson to come back As our interim recreation director So I I share that because in just a week's time he is feet ahead for us to dove right in and Is tackling some of the challenges in the rinks some of the challenges in the recreation programming some of the parks and playground Challenges and though he has no interest in being the permanent recreation director We're lucky to have him in his management experience and knowledge of town town government. So If you're around the rink And go see the chief I so agree. I had the Good fortune to happen to happen to see him this first day It was funny how he's telling me that you know the town manager called me and I said, I don't know I gotta I gotta think about it and as he's talking to me he's saying it like that And he goes, you know, and I thought about it overnight You know, then I got up the next morning. I was thinking, you know in terms of facilities But really needs to be done it And he gets this pep at the step that um, and I was like, oh, this is such a perfect fit And I never would have thought of it. Um, you know in terms of his years of experience in many facets serving the town so I'll add one thing to that I've had one recurring complaint that I won't talk about in public that I've given the town manager about the condition of the rink And I read the email that bob jefferson was taken over. I went to the rink and it was resolved Like magic On the firehouse My perspective is doing great Mr. Chatham, that's all I have. Thank you. Yeah. Thank you, madam chair. Just briefly It's the last week of february But the high schools are entering their own form of march madness and I want to Wish the high school teams that are that have made tournament all the best the girls basketball team played tonight Hopefully they won at and over the girls hockey team opens their tournament wednesday night at the adverns arena And there's a a young player Grandchild of a member who's usually here with us tonight. Maddie kruppalka is on the allington girls team I wish maddie and and the girls all the success in the world and then thursday night the boys hockey team Starts their quest for another state championship And there you are the second public high school To be the number one seed in the super rate. So congratulations to coach missouri I should point out that the first team Was winchester high years ago also coached by john missouri. So best of luck carlington high to all the teams that Made the tournament Just remind everybody that early voting is open if you want to Come in and vote it is open town hall is open from 8 a.m. To 4 p.m. For it was open today But it's open tuesday wednesday thursday it is open until 7 p.m. On friday It is open till 5 p.m. So all of those hours you can come in and do your primary voting And if you don't get your early voting then come in on march 3rd Mr. Hard Mr. Carroll Just one piece of business yesterday the chair and I attended a a A farewell event for Mel galtzite and her husband ather Mel I think we all met mel and she was the human rights commission and and As the co-chair she she really pushed a number of important efforts including our safe communities trust act And the expansion of our our bylaw provisions for protected classes include gender expression identity and was a mover in the And then a leader and and our rainbow commission did so much in such a short time and Talking to her her new home. She's already trying to get you know replicate some of the success there and so We wish her and ather well. I know and we love you mel and good luck And we also met the two no two new co-chairs who have an awful lot of energy and I have four hopefully brief ones just to sort of segue into that that was going to be one of the end things um, also yesterday there was christine bun journal and when I saw her I had received an email from somebody a resident around the ollington high school rebuild project And mindful of the conversations we've had I thought to myself i'm not going to send this to the town manager I think this sounds like a Board of health christine bun journal and I said I emailed her and said i'm starting with you. Let me know where to go from there And and my goodness. Didn't she email me back within an hour of an answer Um, which and then when I saw her down at mel's going away send-off party I Said to her, you know, I hope you're remembering when you know when you get anything from any member of the board Unless it's something that's merchant, you know board of health issue, you know, I hope you're remembering You know that you have your family your downtime and she said no, she's she's mindful cognizant of that She just happened to be on for something else Because I said it can creep over and to that endeavor in terms of with the board and the town manager discussed In terms of sort of setting up a framework um for Not only a current town manager and or any other department heads, but a future town manager and department heads The town manager has been meeting with um, Karen Maloy Getting the framework of that and taking the next step to make that happen And I have been following up on that just basically sort of a check off to see that that's happening so that particular discussion we had has um Is moving along, but it's going to take some more time for that to come to fruition the last two things. Um And I'm going to ask mr. Chaplain to speak to the second part of this We did have that joint meeting this morning redevelopment board myself Town manager chaplain attorney hind planning director jenny ray Um air beach air ed banell so we did go through um all the warrant articles And recognizing the stillest fluid something could be added taken off um, what we did was so just so Um, I know we've all reviewed the warrant, but I don't know if it got as a further review There were four warrant articles that um Andrew and I uh agreed the board both boards should report on 13 15 19 and 20 We obviously did 15 tonight. So then they'll um Do that and then there was only um One the other articles they wanted the select board to Hold the hearing first With the exception of Which one was it? It was one they wanted and I have everything down as select board Municipal housing trust fund. Was that the one they wanted to do first? So, um, we've already done 15 They want us to do 13 and 20 and they want to do 19 before So we're gonna i'm gonna adjust the the maybes which to me they seem like similar warrant articles are 35 36 and 43 Um, and then mr. Chaplain if you could talk about the second piece certainly so to piggyback To piggyback on that I will say that um We we thought that I think we all agreed that those three articles you just mentioned all in Relation to parking requirements or parking minimums In the b3 and b5 zoning district, which has really come to light at the heights pub That there's three articles to try to deal with that They're likely to take a vote on one of those articles that that could be something that this board Thinks about weighing in on more generally. There's a lot of citizen articles in regards to zoning and Not presuming what the arbs action will be But regardless of their action, we thought that if they laid out a memorandum to this board with a rationale for their action Laying that out the board could then receive that and choose to do what it wants to do From there to try to keep up the dialogue that we talked about at the joint meeting But there was nothing else that we clearly thought That the select board should be weighing, you know, and at this point Am I neglecting something else? Um What you will have to work with the future chair of the select board. We kind of set up a framework for the job. Oh, yes. Thank you so Actually, chair mohan had a very good a very good recommendation this morning that we all thought Would work very well of working with the next chair to set up a goal setting session like we talked about With the arb where we find A time frame maybe it's a Saturday morning. Maybe it's not but What was suggested was let's say starting at 8 30 one of the boards Meets for an hour and hour and a half alone to do a goal setting session The next board comes in for an overlapping Hour hour and a half and then that board that came in stays for our remaining hour and hour and a half to do its own Goal setting session so that we can maximize the efficiency of everybody's time and get that goal setting done Both for each individual board as well as jointly so And recognizing everyone needs to accept Unless we're all the stars aligned there's probably going to be a person If we can find the perfect date that both boards all five can meet then that's great But um, I think we have to I think sometimes what happens is we set it and then You know, it kind of gets reset. I think it just says No, but I also mean sometimes But and it's going to be through the town manager In his office in terms of when they send out whatever it is google google alert or something like that I don't want it to be that oh, you know, we're missing one person Let's try to find another you know put out two or three dates But I'll leave that for him as well as um, what we talked about earlier in terms of citizen Future citizen hearings that we're adhering to the matrix and the outline that we distributed the other night Okay, and then my last um very briefy briefly My colleague miss roe had a mu ghar coalition meeting yesterday. Mr. Decorsi and I um sort of interface it into that um in The reason for because there's a lot of questions coming up in terms of zba oak tree Where that process is going everybody's looking to match 31st Some people were hearing that um oak tree may ask for an extension for that and or may not be ready As far as i'm aware that request hasn't been made attorney hind So we're anticipating the match 31st if there's anything that changes madam chair I'll make sure that everybody knows. I know this is an intense matter of interest for the board the public I'll try to make sure that gets communicated as early as possible and um, I'm sorry. I understand that that It's up to the zba whether to grant any further postponements or adjournments Sure And so what they've done is you know, they've updated the mu ghar coalition website. They really want to direct people to there Um, you know, they want to get the lawn signs out again Coming up with a revised, you know, frequently asked questions And one of the things that we suggest that they should do is sort of put a posting out On the mu ghar coalition website penciling these dates because just Kind of like the last zba meeting it kind of happened and everybody had you know a short amount of notice So we wanted to tell people these are possibilities, but Just so you could be around Really encouraging people to go to the mu ghar coalition website on facebook. It has a link to their website On the internet Um, because there are a few every position has been filled but I'd like to have a second person there So and as I said, mr. Decorsi and I will continue to um You know avail ourselves Assisting with them in any way If that's the case, I'll take a motion to adjourn by Mr. Curell seconded by mr. Hurd all in favor say aye all those opposed you get a miss vote our next meeting will be March 9th 2020