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The energy of an ultrarelativistic particle is almost completely due to its momentum (pc >>> mc), and thus can be approximated by E =

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The energy of an ultrarelativistic particle is almost completely due to its momentum (pc >>> mc), and thus can be approximated by E = pc (i.e. it is linear in the generalized coordinate, rather than quadratic). What is the mean energy per degree of freedom for ultrarelativistic particles at temperature T?

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