Atom in a Box 1.0.8
This traces through a three-dimensional cloud density that represents a wave function's probability density and presents results in real time.
This contains all 140 eigenstates up to the n=7 energy level, and the allowed spectral transitions between those eigenstates. It also allows a state formed by a superposition of up to eight of those eigenstates, allowing for over 3 trillion possible states.
The program can display a wave function as a picture of a cloud, use color as phase, plot in red-cyan left/right for 3D glasses, and slice the wave function.