Consider the three-dimensional harmonic oscillator, for which the potential is V ( r ) = 1/2 m ω2 r2    (a) Show that the 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: En = ( n + 3/2 ) ħ ω   (b) Determine the degeneracy d ( n ) of En

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