Demos.HarmOscillator.Gaussian2D

In higher dimensionality, the physics of (uncoupled!) harmonic oscillators remains essentially unchanged. This case represents an example of separable potentials where the multi-dimensional wavefunctions can be written as products of one-dimensional wavefunctions.

In the animations, we see an example of a coherent state in two dimensions. While the Gaussian (bell-) shape of the wavepacket remains unchanged, its center (expectation value of position vector) beautifully follows a Kepler ellipsis.

Matlab version	C++ version
Animated wavepacket	Animated wavepacket
Input data file	Input file and equivalent Python script
Logfile output	Logfile output