According to Liouville's (lyoo-VEEL's) theorem, flows named for this physicist on phase space preserve the volume form.
Action-angle coordinates are typically used when the set of equations named for this physicist and a German mathematician are completely separable. His namesake quantity is equal to the negative partial time derivative of the action by that equation, which allows the motion of a particle to be interpreted as a wave. According to Liouville's (lyoo-VEEL's) theorem, flows named for this physicist on phase space preserve the volume form. One of the two coupled partial differential equations he names states that the time derivative of p is equal to the negative partial q derivative of his namesake quantity. A Legendre transform can be used to derive his formulation of classical mechanics from Lagrange's. For 10 points, name this physicist who names a quantity equal to the total energy of a system.
Action-angle coordinates are typically used when the set of equations named for this physicist and a German mathematician are completely separable.
William Rowan Hamilton &lt;Overman&gt;