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L6.4 Strong-field Zeeman

PROFESSOR: So B strong field Zeeman. So what did we say we would do? We would have H0 plus e over 2mc B Lz plus 2Lz B. This would be our H0 check I call it, plus delta H fine structure 1. And we said what we have to do now is strong field Zeeman is more important than fine structure. So we first have to get the strong field Zeeman figured out, with the bare bones hydrogen atom, what it does. And then on those states, we will do perturbation theory for fine splitting. So it is redoing fine splitting. And you say oh my god, that's hard. We spent a whole lecture doing that. Well, second time you do things, they go a little faster. So it's not that bad. But here there is something quite remarkable. This was supposed to be your known Hamiltonian. And you say no, it's not known. I never solved this before. On the other hand, when we had H0 plus delta H1, a fine structure, we did struggle. And we found those states-- approximate states. Here the situation happily is ...