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For a Three-dimensional system of localized distinguishable oscillators, Boltzmann statistics applies. Please show that the entropy S is given by 5=U/T+3NklnZ For a Three-dimensional system

For a Three-dimensional system of localized distinguishable oscillators,
Boltzmann statistics applies. Please show that the entropy S is given by
5=U/T+3NklnZ
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For a Three-dimensional system of localized distinguishable oscillators, Boltzmann statistics applies. Please show that the entropy S is given by (7%) S=TU+3NklnZ

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