10.16. The potential energy in a particular anisotropic harmonic oscillator with cylindrical symmetry is given by 1 V = with wi < wz << 2@1. (a) Determine the energy eigenvalues and the degeneracies of the three lowest energy levels by using Cartesian coordinates.

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10.16. The potential energy in a particular anisotropic harmonic oscillator with
cylindrical symmetry is given by
1
V:
with wi < wz < 2w1.
(a) Determine the energy eigenvalues and the degeneracies of the three lowest
energy levels by using Cartesian coordinates.
(b) Solve the energy eigenvalue equation in cylindrical coordinates and check
your results in comparison with those of (a).
Transcribed Image Text:10.16. The potential energy in a particular anisotropic harmonic oscillator with cylindrical symmetry is given by 1 V: with wi < wz < 2w1. (a) Determine the energy eigenvalues and the degeneracies of the three lowest energy levels by using Cartesian coordinates. (b) Solve the energy eigenvalue equation in cylindrical coordinates and check your results in comparison with those of (a).
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