Shown is the probability density for a single particle in a two-dimensional infinite square well. Each side is of length a=1.
1. Describe the energy levels as a function of n and m.
2. Are there any degeneracies in energy? If so what for n and m?
Answer: n=2 / m=2 and n=1 / m=4 have the same energy, an accidental degeneracy.