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HWPhys623_set2

HWPhys623_set2 - Homework#2 — PHYS 623 — Spring 2011...

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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 protected] • Joe Mitchell; Office: PHS3117, Tel: 405.301.2659, Email: [email protected] 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 δ-functional potential, U ( r ) ≈ - U a 2 δ (2) ( r ). Following the lecture notes, use the Fourier transform to de- rive the corresponding Schr¨...
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HWPhys623_set2 - Homework#2 — PHYS 623 — Spring 2011...

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