(1) Estimate the relative size of the level splitting in the n=1 state to the unperturbed energy of the n=1 state, when a field B=1000 kG is applied.
(2) Recall that we have been neglecting the order B2 term in H. Estimate its contribution in the n=1 state relative to the linear (−μ⋅B) term we have kept, by assuming the electron moves on a classical orbit of radius a0. Above what ∣B∣ does it begin to be a poor approximation?