Homework #11 — PHYS 402 — Spring 2011 Deadline: Friday, May 6, 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 47 points. Ch. 9 Time-Dependent Perturbation Theory 1. Problem 9.1, 10 points. Matrix elements of electric ﬁeld between the n = 1 and n = 2 states of hydrogen. First, write down explicitly the wave functions of the states involved in the problem. Then, examine the integrals for the matrix elements and argue which integrals vanish identically by symmetry. Finally, calculate the remaining non-zero integrals. Additional question: Verify explicitly that results of your calculations are consistent with the selection rules described in Sec. 9.3.3.
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