For 10 points—name this mechanical model in which a particle's vibrations can be described in terms of sine and cosine functions, the simplest example of which is a spring..
The solution of the Schrödinger equation for a particle with this type of potential is given by the product of a Gaussian function and a Hermite potential. The mean displacement of a quantum one is zero, just like its classical analogue. Though quadratic and quartic versions exist, simple ones obey Hooke's law. For 10 points—name this mechanical model in which a particle's vibrations can be described in terms of sine and cosine functions, the simplest example of which is a spring..
The solution of the Schrödinger equation for a particle with this type of potential is given by the product of a Gaussian function and a Hermite potential.
{harmonic oscillator} [accept {SHM} or {simple harmonic motion}]