Question: Extreme relativistic particles have momenta p such that pc >> Mc2, where M is the rest mass of the particle. The de Broglie relation

Extreme relativistic particles have momenta p such that pc >> Mc2, where M is the rest mass of the particle. The de Broglie relation λ = h/p for the quantum wavelength continues to apply. Show that the mean energy per particle of an extreme relativistic ideal gas is 3τ if ε ≡ pc, in contrast to 3/2 τ for the non-relativistic problem

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