The wavefunctions for this system are proportional to the inverse square root of two to the n times n factorial times a Gaussian times a Hermite polynomial.
The wavefunctions for this system are proportional to the inverse square root of two to the n times n factorial times a Gaussian times a Hermite polynomial. The zero-point energy of this system is equal to ½ times h-bar times omega. A particle in a potential minimum can be modeled using this system by Taylor expanding the potential and keeping the 2nd-order term. When this system's 2nd order differential equation is inhomogeneous, it is said to be "driven," while when there is a nonzero first derivative term, damping occurs. In this kind of system, acceleration is linearly proportional to displacement. Name this kind of system exemplified by a mass attached to a spring.
The wavefunctions for this system are proportional to the inverse square root of two to the n times n factorial times a Gaussian times a Hermite polynomial.
{harmonic oscillator} [accept “simple” or “quantum” {harmonic oscillator}s, accept word forms like {simple harmonic motion} and abbreviations like {QHO} or {SHM}]