PHYSICS 137B Midterm: physics137B-fa2013-mt1-Ganor-exam
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Physics 137b (quantum mechanics ii) midterm exam / october 15, 2013 / 9:40am - 11:00am. Please solve all three problems below, and please explain your answers. Problem 1 [30pts]: spin-orbit interaction so = (cid:16) e2. ~s ~l causes the degenerate 2p level. Hypothetically, if the electron had spin s = 1 (instead of s = 1. 2 ), assuming the same form of h so, into how many distinct levels would 2p split, and what would be the energy di erences between adjacent levels? (you can express your answers in terms of e. ) Two identical and non-interacting fermions of mass m are in an in nite square well potential in the range a < x < a. Calculate the rst order o( ) correction to the ground state energy. You can use one or more of the formulas. X a (some formulas where added to hide the really needed one. )
