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Homework 19 - Fall 2007 - Quantum Mechanics | PH 651, Assignments of Quantum Mechanics

Oregon State University (OSU)Quantum Mechanics

Material Type: Assignment; Class: QUANTUM MECHANICS; Subject: Physics; University: Oregon State University; Term: Fall 2007;

Typology: Assignments

Pre 2010

Uploaded on 08/30/2009

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Download Homework 19 - Fall 2007 - Quantum Mechanics | PH 651 and more Assignments Quantum Mechanics in PDF only on Docsity! Phys 651 Fall 2007 Homework #19 (due Monday, November 26, 2007) 1. (10 pts) Consider 1D harmonic oscillator. Evaluate the following commutators: (a) [PH(t1), PH(t2)] (b) [XH(t1), XH(t2)] Explain the physical meaning of your results. 2. (20 pts) Consider a particle which behaves as 1D harmonic oscillator. Now imagine that your particle is also charged (has an electric charge q) and apply uniform electric field E along x-axis. (a) Find the allowed energy levels and corresponding eigenfunctions. Hint: you don’t need to solve anything to be able to do it ! (b) At t < 0 the particle is in the ground state. At t = 0 the electric field is suddenly turned off. What is the probability to find the particle in the ground state and in the first excited state? 3. Reading assignment: Sakurai 2.4; handout and papers regarding coherent states

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Homework 19 - Fall 2007 - Quantum Mechanics | PH 651, Assignments of Quantum Mechanics

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