HWPhys623_set3

# HWPhys623_set3 - Homework#3 PHYS 623 Spring 2011 Due Friday FEB-18-2011 at 10:00 a.m in class Professor Victor Galitski Oce 2330 Physics Class

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Homework #3 — PHYS 623 — Spring 2011 Due Friday, FEB-18-2011 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” Time-Dependent Quantum Mechanics. Spin- 1 / 2 Dynamics 1. A follow-up on the problem considered in the lecture on FEB-2-2011: A localized spin- 1 / 2 (quantum two-level system) is subjected to the time-dependent magnetic ﬁeld b ( t ) = ( b 1 cos[ ωt ] ,b 1 sin[ ωt ] ,b 0 ) , (1) where b 0 is a constant component of the ﬁeld, b 1 is the amplitude of the rotating component, and ω is its frequency. The corresponding Schr¨ odinger equation is i∂ t Ψ( t ) = μ b ( t ) · ˆ σ Ψ( t ) , (2) where Ψ( t ) is a two-component spinor wave-function, ˆ

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## This note was uploaded on 12/30/2011 for the course PHYSICS 623 taught by Professor Galitski during the Summer '10 term at Maryland.

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HWPhys623_set3 - Homework#3 PHYS 623 Spring 2011 Due Friday FEB-18-2011 at 10:00 a.m in class Professor Victor Galitski Oce 2330 Physics Class

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