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Unformatted text preview: Homework #6 PHYS 623 Spring 2011 Due Friday, Apr-8-2011 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: firstname.lastname@example.org Joe Mitchell; Office: PHS3117, Tel: 405.301.2659, Email: email@example.com 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 Scattering theory. Born approximation 1. Use the Born approximation to calculate the scattering amplitude and total scattering cross-section of particles scattering off the following potentials: (a) U ( r ) = r e- r/R ; (b) U ( r ) = ( r- R ); (c) U ( r ) = U e- r/R ; (d) U ( r ) = r 2 ; (e) U ( r ) = ( U , r < R, , r > R ; (f) U ( r ) = U e- r 2 /R 2 ....
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