## 2-d Infinite Rectangular Well

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.**