Homework #8
— PHYS 402 — Spring 2011
Deadline:
Wednesday, April 13, 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 36 points.
Ch. 6 TimeIndependent Perturbation Theory
1. Problem 6.17, 6 points.
Derive the finestructure formula (6.66).
2. Problem 6.20, 3 points.
Internal magnetic field in hydrogen.
In Eq. (6.59), use the Bohr radius
a
for
r
, and ¯
h
for
L
. Express your answer in the units
of Tesla. (
For a reference, magnetic field of the Earth is about 30–60 microTesla.
)
3. 18 points.
The Zeeman effect in the hydrogen atom for
n
= 2,
l
= 1, and
s
= 1
/
2.
This problem was partially discussed in class on Wednesday, April 6, so your task is
to finish and systematically describe this calculation.
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 Spring '09
 Anlage
 Physics, Work, Schrodinger Equation, Fundamental physics concepts, Bext, energy eigenvalues

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