Quantum Harmonic Oscillator

Voladd

About this app

Quantum harmonic oscillator is one of the few quantum mechanical systems for which an exact, analytic solution is known. It is especially useful because arbitrary potential can be approximated by a harmonic potential in the vicinity of the equilibrium point.

The wave-like behavior of a particle confined to a harmonic well is described by the wave functions of the quantum harmonic oscillator. These are the solutions to the corresponding quantum mechanical Schroedinger equation and they determine the probability to find the particle in a particular space region.

This app visualizes the eigenstates of the three-dimensional quantum harmonic oscillator by drawing the cross-section surfaces of the square of the wave function in OpenGL, using the Marching Cubes algorithm. The spherical coordinate basis is employed.

Features:
- Select the eigenstate by specifying the quantum numbers k, l and m, or pick a random one.
- Change the discretization step size.
- Choose the total probability to find the particle inside the drawn orbital surface.
- Zoom and rotate the surface with your fingers.

Ratings and reviews

Clear visuals, a polaroid ready for the hamiltonian to view, rough edges dual view state, hold the press to see 3d internal... bright colours, you can almost see Compton scatter! joke :) Easy E= eigenstate... Rotatable scalable model. Strong straight code. App only ever hung once, probably MY fault for numbers outside some range limit...

Wonderful computing experience

Honestly just fun to mess around in.