midterm - PH 216, Midterm, 2011 Instructions: Your...

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Unformatted text preview: PH 216, Midterm, 2011 Instructions: Your solutions are due Saturday at 9 AM , via email or in my office (I should be present on Saturday morning, but if you want to drop it friday night, or miss me, you can slip it under the door.) Late midterms will not be accepted except in case of natural catastrophe or national emergency. Feel free to consult any written (paper and ink) sources, but not computers or other people. I’ve made every effort to keep ambiguity out of the questions, but if some remains for you, I will try to remove it; please email ([email protected]) or feel free to call (325-6832 between 8 am and 9 pm). 1. An electron moves in Coulomb field centered at the origin of coordinates. With neglect of spin and relativistic corrections, the first excited state ( n = 2) is 4-fold degenerate: l = 0 ,m = 0; l = 1 ,m = ± 1 , 0. Consider what happens to this level in the presence of an additional non-central potentail V = f ( r ) xy , where f ( r ) is some central function, well-behaved but not otherwise specified (it falls off rapidly enough as...
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midterm - PH 216, Midterm, 2011 Instructions: Your...

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