Question: (a) The three-dimensional harmonic oscillator has the potential-energy function where the k's are three force constants. Find the energy eigenvalues by solving the SchrÃ¶dinger equation.

(a) The three-dimensional harmonic oscillator has the potential-energy function

where the k's are three force constants. Find the energy eigenvalues by solving the SchrÃ¶dinger equation. (b) If kx = ky = kz, find the degree of degeneracy of each of the four lowest energy levels.

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