Q:

Consider a set of N one-dimensional harmonic oscillators, described by the Hamiltonian

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Consider a set of N one-dimensional harmonic oscillators, described by the Hamiltonian

where n is a positive and even integer. Use the canonical for- malism to obtain an expression for the classical specific heat of this system.

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Note that the canonical partition function may be written as Z = ZN , where

Thus,

 

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