7.2 Consider an anisotropic harmonic oscillator described by the Hamiltonian 1 Pi + p; + p?) + ¿ki(x²+ y³) + ¿kz². H (a) Find the energy levels and the corresponding energy eigenfunctions using Cartesian coordinates. What are the degeneracies of the levels, assuming that wi = (kj/µ)'/2 and wz = (b) Can the stationary states be eigenstates of L?? of L̟? (k2/µ)/2 are incommensurable?

7.2 Consider an anisotropic harmonic oscillator described by the Hamiltonian 1 Pi + p; + p?) + ¿ki(x²+ y³) + ¿kz². H (a) Find the energy levels and the corresponding energy eigenfunctions using Cartesian coordinates. What are the degeneracies of the levels, assuming that wi = (kj/µ)'/2 and wz = (b) Can the stationary states be eigenstates of L?? of L̟? (k2/µ)/2 are incommensurable?