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homework2 - is given by the binomial formula(2.02 as...

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Homework #2 — PHYS 603 — Spring 2007 Deadline: Thursday, March 29, 2007, in class Professor Victor Yakovenko Office: 2115 Physics Web page: http://www2.physics.umd.edu/˜yakovenk/teaching/ Textbook: Gregory H. Wannier, Statistical Physics Dover 1987 reprint of the 1966 edition, ISBN 0-486-65401-X Do not forget to write your name and the homework number! Each problem is worth 6 points. Ch. 2 Elementary Statistical Methods in Physics 1. Problem 2.2, Divide N into M and N - M . 2. Problem 2.3, Random walk. In this Problem, s is the total number of steps. Show that the probability distribution
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Unformatted text preview: is given by the binomial formula (2.02), as explained in the Problem. Do additional part (c): Show that in the limit s ± 1, the probability distribution p s ( m ) becomes a Gaussian function of m . In this limit, you may treat s and m as continuous variables. 3. Problem 2.4, Virial theorem in classical mechanics. 4. Problem 2.9, Roll a die 4 times. 5. Problem 2.14, Virial theorem for an anharmonic oscillator. 6. Problem 2.18, Equation of state for a gas of photons....
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