The real (cyan) and imaginary (magenta) parts of the wave function of a quantum harmonic oscillator. The time-independent SchrÃ¶dinger equation is solved with a shooting method to obtain the first 16 eigenfunctions, by which an initial wave function is approximated, and time evolution is applied. The initial wave function here is *exp(-x ^{2})*, scaled horizontally, shifted to the right, and normalised.

- 0-9: display the first 10 eigenfunctions individually
- SPACE: display probability amplitude