## Problem 13.3: Degeneracy in a rectangular infinite well

Animation 1: Energy Eigenfunction | Animation 2: Energy Eigenfunction Contours | Animation 3: Probability Density | Animation 4: Probability Density Contours

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Shown are the energy eigenfunctions for a single particle in a two-dimensional infinite square well. One side (*x*) is of length *a* = 1 and the other side (*y*) is of length *b* = 2. You may change the value of the slider to change the quantum number associated with each dimension. In addition, you may view the energy eigenfunctions as a three-dimensional plot or as a contour plot and view the probability densities as either a three-dimensional plot or as a contour plot.

- Describe the energy levels as a function of
*n*and*m*. - What is the condition of energy degeneracy?