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Homework #6
— PHYS 402 — Spring 2011
Deadline:
Wednesday, March 16, 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 28 points.
Ch. 5 Identical Particles
1. Problem 5.21, 3 points.
Degeneracy of the band states.
Also answer:
How many nondegenerate states does the energy spectrum have for
even
N
and for odd
N
, and what are the values of
K
for these nondegenerate states?
2. 8 points.
The Dirac comb model in the limit
β
±
1.
Let us examine the Dirac comb model in the limit where the strength
α
the delta
function potential is very high, so that
β
±
1, and even take the limit
β
→ ∞
. The
dimensionless parameter
β
is given by Eq. (5.65). Examine the plot in Fig. 5.6 in the
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