Consider an anisotropic harmonic oscillator described by the Hamiltonian H = L(p; + P2 + p?) + {k6? +y2) + 2k22? 2p (a) Find the energy levels and the corresponding energy eigenfunctions using Cartesian coordinates_ What are the degeneracies of the levels, assuming that W1 = (k1/p)1/2 and W2 = (kz/u)1/2 are incommensurable? (b) Can the stationary states be eigenstates of L2? of Lz?'