Problem 13.3: Degeneracy in a rectangular infinite well

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Energy = in units of ground-state energy of 1-d well: a = 1

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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.

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