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Unformatted text preview: Homework #1 — PHYS 402 — Spring 2011 Deadline: Wednesday, February 9, 2011, in class Professor Victor Yakovenko Office: 2115 Physics Web page: http://www2.physics.umd.edu/ ~ yakovenk/teaching/ Textbook: David J. Griffiths, Introduction to Quantum Mechanics 2nd edition, Pearson Prentice Hall, 2005, ISBN 0-13-111892-7 Do not forget to write your name and the homework number! Be sure to answer all additional questions asked in this assignment! Total score is 40 points. Ch. 4 Quantum Mechanics in Three Dimensions 1. Problem 4.9. Particle in a finite spherical well. This problem is more challenging mathematically, so you may wish to skip it, if it is too difficult for you. The problem is analogous to the finite square well problem discussed in Ch. 2.6. I highly recommend you to read that chapter before attempting this problem. Specifically, the spherical problem is analogous to Problem 2.29. (Why?) Main part, 6 points: In this part, derive a transcendental equation determining the energies of the bound states for l = 0. This transcendental equation cannot be solved analytically. Nevertheless, a condition on V and a that this equation has, at least, one...
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