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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 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 47 points.
Ch. 9 TimeDependent 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 nonzero 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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