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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 0131118927 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 TimeIndependent Perturbation Theory 1. 10 points. Consider a particle in the onedimensional harmonicoscillator 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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