PHYSICS 137B Final: physics137B-sp2013-final-Mueller-exam

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8 Jan 2019
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Phys 137b, spring 2013 (dated: may 14, 2013) Hints: several problems may be solved without calculation, or very little calculation. Vba at the outer boundary as function of c: 10 points find the s-wave scattering cross section. V (r) = { 0 r > r. Hint: you don"t need to solve the di erential equations for the two-level system from scratch. Instead, modify the above solution: 10 points your friend wants to know the solution for initial conditions ca(0) = cb(0) = 1/ 2. Hint: again, you don"t need to solve the di eren- tial equations for the two-level system from scratch: hollow-sphere scaterring consider s-wave scat- tering at the potential of a hollow sphere. 0 r < r0 q2/(2m) r0 < r < 2r0 (2) 0 r > 2r0 where q > 0 is a constant.