Question: (a) Show that the partition function of a photon gas is given by Where the product is over the modes n (b) The Helmholtz free

(a) Show that the partition function of a photon gas is given by

p(- hwn 1 – exp П-


Where the product is over the modes n

(b) The Helmholtz free energy is found directly from (53) as

p(- hwn 1 exp -

Transform the sum to an integral; integrate by parts to find


F = –π2Vτ4/45h3c3

p(- hwn 1 exp -

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