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Unformatted text preview: Homework #2 PHYS 623 Spring 2011 Due Friday, FEB-11-2011 at 10:00 a.m. in class Professor Victor Galitski Office: 2330 Physics Class web-page: http://terpconnect.umd.edu/ galitski/PHYS623/ . Write clearly your name and the homework number and staple the pages together. Teaching Assistants: Meng Cheng; Office: PHS2113, Tel: 301.405.7299 , Email: email@example.com Joe Mitchell; Office: PHS3117, Tel: 405.301.2659, Email: firstname.lastname@example.org Textbooks: J. J. Sakurai and J. J. Napolitano, Modern Quantum Mechanics L. D. Landau and L. M. Lifshitz, Vol. III: Quantum Mechanics Non-Relativistic Theory Schr odinger equation in momentum representation; Time-Independent Perturbation Theory 1. Consider a particle in a shallow two-dimensional potential well, U ( r ), with the typ- ical radius, a , and the typical strength, U , such that U h 2 / ( ma 2 ). Such a shallow potential well can be faithfully represented by the -functional potential, U ( r ) - U a 2 (2) ( r ). Following the lecture notes, use the Fourier transform to de- rive the corresponding Schr...
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