1. Eigenstates
  2. Superpositions
  3. Coherent

The harmonic oscillator has eigenstates given by

where are Hermite polynomials, and is a dimensionless position.

Change which eigenstate is being displayed by moving the slider.

In the display we have

  • The wavefunction coloured by its phase,

  • The quadratic potential, , in blue,

  • and the probability density is white.

Click and drag on the visualisation to see the complex component of the wave function as well. Press x/y/z, to snap to axis.

Questions (click to reveal)