(a) Show that the wave function given in Eq. (42.10) is a solution of the three-dimensional Schrodinger...

Question:

(a) Show that the wave function ψ given in Eq. (42.10) is a solution of the three-dimensional Schrodinger equation, Eq. (40.29), with the energy as given by Eq. (42.11).
(b) What are the energies of the ground level and the lowest two excited levels? What is the degeneracy of each of these levels? (Include the factor of 2 in the degeneracy that is due to the two possible spin states.)