Problem

Consider the three-dimensional harmonic oscillator, for which the potential is [4.188](a)...

Consider the three-dimensional harmonic oscillator, for which the potential is

 [4.188]

(a) Show that separation of variables in cartesian coordinates turns this into three one-dimensional oscillators, and exploit your knowledge of the latter to determine the allowed energies. Answer:

 [4.189]


(b) Determine the degeneracy d(n) of En

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