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Show that in the relativistic case the equipartition theorem takes the form<m0 u^2(1-u^2/c^2)^-1/2>=3kT, where m0 is...

  1. Show that in the relativistic case the equipartition theorem takes the form<m0 u^2(1-u^2/c^2)^-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 nonrelativistic case.

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