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(Solved): a) Ignoring the zero-point energy, show that the partition function \( Z \) for a photon gas in a ...



a) Ignoring the zero-point energy, show that the partition function \( Z \) for a photon gas in a volume \( V \) is given by

a) Ignoring the zero-point energy, show that the partition function \( Z \) for a photon gas in a volume \( V \) is given by \[ \ln Z=-\frac{V}{\pi^{2} c^{3}} \int_{0}^{\infty} \omega^{2} \ln \left(1-e^{-\hbar \omega \beta}\right) \mathrm{d} \omega \]


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