Consider a cubic 3D infinite well. part a: How many different wave functions have the same energy as the one for which (n_x, n_y, n_z) = (5,1,1)? How much of this degeneracy is due to symmetry and how much is “accidental”?

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Consider a cubic 3D infinite well.

part a: How many different wave functions have the same energy as the one for which (n_x, n_y, n_z) = (5,1,1)? How 
much of this degeneracy is due to symmetry and how much is “accidental”?

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