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(a) Write down the energy eigenvalues for a 3-dimensional oscillator with mass m and spring constant...

(a) Write down the energy eigenvalues for a 3-dimensional oscillator with mass m and spring constant kx= ky =kz and quantum number nx, ny and nz = 0, 1, 2, 3, 4 ….

(b) Write down the degeneracy of the five lowest states of a 3-dimensional harmonic oscillator in terms of nx, ny and nz.

(c) Show that the number of degeneracy of a 3-dimensional oscillator for the nth energy level is 1/2(n+1)(n+2).

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