6.2. Solve the three-dimensional harmonic oscillator for which V(r) = — mw² (x² + y² + z²) 2 by separation of variables in Cartesian coordinates. Assume that the one-dimensional oscillator has eigenfunctions (x) with corresponding energy eigenvalues En = (n + 1/2)ħw. What is the degeneracy of the first excited state of the oscillator?
6.2. Solve the three-dimensional harmonic oscillator for which V(r) = — mw² (x² + y² + z²) 2 by separation of variables in Cartesian coordinates. Assume that the one-dimensional oscillator has eigenfunctions (x) with corresponding energy eigenvalues En = (n + 1/2)ħw. What is the degeneracy of the first excited state of the oscillator?
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Transcribed Image Text:6.2. Solve the three-dimensional harmonic oscillator for
which
1
V(r) = -— mw² (x² + y²² +2²)
2
by separation of variables in Cartesian coordinates.
Assume that the one-dimensional oscillator has
eigenfunctions (x) with corresponding energy
eigenvalues En = (n + 1/2)hw. What is the degeneracy
of the first excited state of the oscillator?
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