PHYSICS 137B Study Guide - Final Guide: Geometric Phase, Born Approximation, Spherical Coordinate System

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8 Jan 2019
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Phys 137b, fall 2016 (dated: december 16, 2016) Instructions: you are allowed two cheat sheets, handwritten on the front and back. Make your reasoning as clear as possible, because an un- justi ed answer will yield zero points even if it is correct. It is probably a good idea to read all problems rst and start with the easiest. If you are mostly done with a problem except for cosmetic steps, do other problems. Rst and come back later if you have time. If you run out of time, outline missing steps for partial credit. Likewise, if you nd an error but run out of time, explain the error for partial credit. In this problem, we are taking the rst steps that ex- tend the wkb method to three-dimensional problems. V (r) = { v0 r < r, r > r.