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Unformatted text preview: ---------------Name: Student ill: ~_ Quiz #3 (Closed book. Allowed: calculator and one infonnation sheet written on both sides) Physics 113B Quantum Mechanics Monday, November 15,2010 1. (& points) Consider the n=l state and the n=2 states ofthe hydrogen atom. (a) (2 points) Calculate the energies (in eV) ofthese states according to the Bohr model. ·lEI --13.1. ·eV J [E 2-~-3Jrc ~V]8' (b) (~points)What are the fIrst order fine structure corrections to the energies of the 1s, 2s, and 2p states of the hydrogen atom. Express your fmal answers in eV. (Note: fine structure corrections include both the relativistic effect and the spin-orbit effect.) En' -=--B, b_[ Ir J )1..& F,h.J.., Sfu(,~umech~: -I'S.' _1.(·.n s ).]___Ill 0( " ..-11· j'r~t-I finr 15 ,~-:;5-;. .L -) ~-I--I' S) 11=-i o .J L ,J-~, " ::: J-J=-S II ~';. ~..L -J~>m""¥ i ~t:-'3 , Cm)"-(t J -~-bf,JIi'" 2-1 ·fs__ -/1>. l / I _ \ ~(,....
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