Question

Let Ho be the Hamiltonian of the non-relativistic hydrogen atom neglecting spin. Consider H1 = e|E\r cos 0 with e|E|af < 1. This Hamiltonian describes a weak constant electric field in the z-direction interacting with the atomic dipole. We want to understand the effect such a field has on the first excited energy level, E2, of hydrogen. Remember that this energy level is degenerate with corresponding eigenstates |2lm) Use first-order perturbation theory to find the aproximate energies of Ho+ H1 close to E2.

Answer 1

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