2-d Infinite Rectangular Well

 Choose a Level:  
  Choose a Level:

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

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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.