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Unformatted text preview: Homework #7 PHYS 402 Spring 2011 Deadline: Wednesday, March 30, 2011, in class Professor Victor Yakovenko Office: 2115 Physics Web page: http://www2.physics.umd.edu/ ~ yakovenk/teaching/ Textbook: David J. Griffiths, Introduction to Quantum Mechanics 2nd edition, Pearson Prentice Hall, 2005, ISBN 0-13-111892-7 Do not forget to write your name and the homework number! Be sure to answer all additional questions asked in this assignment! Total score is 30 points. Ch. 6 Time-Independent Perturbation Theory 1. 10 points. Consider a particle in the one-dimensional harmonic-oscillator potential described by the Hamiltonian H given by Eq. (2.46). Suppose an external force F is applied to the particle, so the Hamiltonian acquires the perturbation H =- Fx . To answer the following questions, you can use Eq. (3.98) from Problem 3.33 for the matrix elements of x . You dont need to prove this formula (assuming that you derived it in PHYS 401 last semester)....
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