Suppose that the energy of a particle can be represented by the expression

Suppose that the energy of a particle can be represented by the expression

E(z)awhere zis a coordinate or momentum and can take

on all values from -infto inf.

(a) Show that the average energy per particle for a system of such

particles subject to Boltzmann statistics will be kT/2.

(b) State the principle of equipartition of energy and discuss briefly its

relation to the above calculation.


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