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.