homework6 - Homework #6 PHYS 402 Spring 2011 Deadline:...

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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 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 28 points. Ch. 5 Identical Particles 1. Problem 5.21, 3 points. Degeneracy of the band states. Also answer: How many non-degenerate states does the energy spectrum have for even N and for odd N , and what are the values of K for these non-degenerate 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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homework6 - Homework #6 PHYS 402 Spring 2011 Deadline:...

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