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HWPhys623_set1

# HWPhys623_set1 - Homework#1 PHYS 623 Spring 2011 Due Friday...

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Homework #1 — PHYS 623 — Spring 2011 Due Friday, FEB-4-2011 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: PHS2121, Tel: 301-405-7652, Email: [email protected] Joe Mitchell; Office: PHS4223, Tel: 301-405-6192, 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” Time-Independent Perturbation Theory 1. Consider the Hamiltonian ˆ H = ˆ H 0 + λ ˆ V , where ˆ H 0 has a discrete non-degenerate spec- trum with the eigenfunctions, | n i 0 , and the corresponding eigenenergies, E (0) n . The perturbation, λ ˆ V , with λ 1 is a small (in some sense) correction to the Hamilto- nian. We are interested in the solution of the Schr¨odinger equation, ˆ H | n i = E n | n i , particularly in its spectrum sought after in the form, E n = E (0) n + E (1) n + E (2) n . . .

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HWPhys623_set1 - Homework#1 PHYS 623 Spring 2011 Due Friday...

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