problems2 - − = h and wavefunction t x satisfies...

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Physics 4021: Introduction to Quantum Mechanics I Homework Assignment 2 Due in class: Thursday, Sept. 20, 2007 1. First solve Problem 1.7. In fact, Ehrenfest theorem can be stated in the following generalized form for an arbitrary quantum mechanical operator A ~ () A x dx t x A H H A t x i A dt d ~ ) , ( ~ ~ ~ ~ ) , ( 1 ~ * + = ψ h (1) where H ~ is an operator given by ) ( 2 ~ 2 2 2 x V x m H +
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Unformatted text preview: − = h and wavefunction ) , ( t x satisfies Shroedinger equation: ) , ( ~ ) , ( ) ( ) , ( 2 ) , ( 2 2 2 t x H t x x V t x x m t x t i = + ∂ ∂ − = ∂ ∂ h h . Prove this generalized Ehrenfest theorem (1). 2. Problem 1.8 3. Problem 1.9 4. Problem 1.14 5. Problem 1.17 6. Problem 2.1 1...
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This note was uploaded on 02/23/2010 for the course PHYS 4021 taught by Professor Kim during the Fall '08 term at Columbia.

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