# Statistical Mechanics - Microcanonical ensemble problem from Statistical Mechanics: Theory and Molecular Simulation by Mark Tuckerman...

###### Question:

Statistical Mechanics - Microcanonical ensemble problem from Statistical Mechanics: Theory and Molecular Simulation by Mark Tuckerman

of N identical particles 3.1. Consider the standard Hamiltonian for a system of N identical part H = C P +U(r...,EN). a. Show that the microcanonical partition function can be expressed in the form N(N,V, E) – My [ae ſaxpo( -E) Nr 8(Ur....IN) - E+E'), Jor which provides a way to separate the kinetic and potential contributions to the partition function. Based on the result of part a, show that the partition function can, there- fore, be expressed as 3/27 (N, V, E) = dNr E-U(r.....In)3N/2-10 (E-U (11,...,IN)), JD(V) where 0(x) is the Heaviside step function.

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