qual_19_p4_sol.pdf - QUALIFYING EXAMINATION Part 4 Solutions Problem 1 Statistical Mechanics I(a The one-body distribution for a classical ideal gas

qual_19_p4_sol.pdf - QUALIFYING EXAMINATION Part 4...

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QUALIFYING EXAMINATION, Part 4 Solutions Problem 1: Statistical Mechanics I(a) The one-body distribution for a classical ideal gas with a single-particle Hamiltonianh=p22m+Vtrap(r) isf(r,p) =Nexp[-βp22m-βVtrap(r)], whereNis a normalization factor.
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