Consider a particle free to translate in one dimension. The classical Hamiltonian is H = P 2

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Consider a particle free to translate in one dimension. The classical Hamiltonian is H = P2/2m.

a. Determine qclassical for this system. To what quantum system should you compare it in order to determine the equivalence of the classical and quantum statistical mechanical treatments?

b. Derive qclassical for a system with translational motion in three dimensions for which:

H = (p2x + p2y + p2z) / 2m

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Physical Chemistry

ISBN: 978-0321812001

3rd edition

Authors: Thomas Engel, Philip Reid

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