Consider a cubic 3D infinite well, (a) How many different wave functions have the same energy as the one for which (nx, ny, nz) — (5, I. I)? (b) Into how many different energy levels would this level split if the length of one side were increased by 5%? (c) Make a scale diagram, similar to Figure 7.3, illustrating the energy splitting of the previously degenerate wave functions, (d) Is there any degeneracy left? If so, how might it be "destroyed"?
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