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Pathria Statistical Mechanics Problem 3.24 "Show that in the relativistic case the equipartition theorem takes the...

Pathria Statistical Mechanics Problem 3.24

"Show that in the relativistic case the equipartition theorem takes the form < m0u2(1-u2/c2)-1/2 > = 3kT, where m0 is the rest mass of the particle and u its speed. Check that in the extreme relativistic case the mean thermal energy per particle is twice its value in the non-relativistic case."

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