(a) Show that the partition function of a photon gas is Z = Пa (₁-e- for the vibration modes of the electromagnetic field. (b) Show that the free energy of an electromagnetic radiation is F(V,T) = -aVT4, where a is a constant. The density of states of an electromagnetic radiation is given by _g(w) ==2w². e-Bhwa), where a is
(a) Show that the partition function of a photon gas is Z = Пa (₁-e- for the vibration modes of the electromagnetic field. (b) Show that the free energy of an electromagnetic radiation is F(V,T) = -aVT4, where a is a constant. The density of states of an electromagnetic radiation is given by _g(w) ==2w². e-Bhwa), where a is
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Transcribed Image Text:Bhwa),` where a is
(a) Show that the partition function of a photon gas is Z = Πα
for the vibration modes of the electromagnetic field.
(b) Show that the free energy of an electromagnetic radiation is F(V,T) = = -aVT4,
1-e-Bħwa,
where a is a constant. The density of states of an electromagnetic radiation is given by
V
g(w) = 723 w².
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