Answered: (1) When the energy of the system… | bartleby

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(1) When the energy of the system (simple harmonic oscillator) is given by E = (n+)
ħw in a
heat bath of temperature T,
(a) Derive the partition function Z.
(b) For high temperature kT » ħw, derive the approximate form of Z.
(c) Calculate F (Helmholtz free energy), U (internal energy), and S (entropy) of the system.

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