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Consider a collection of N non-interacting one-dimensional harmonic oscillators, with total
Hamiltonian
H(p, q) = E"+mw²q}]:
Li-1
[2m
(a) Calculate the classical partition function, taking the phase-space element to be
dpdq/t, where t is an arbitrary scale factor.
(b) Obtain the entropy, internal energy, and heat capacity.

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