Problems and Solutions on Thermodynamics and Statistical Mechanics

Statistical Physics^255

In terms of the thermodynamic potential In Z,

1

= -E.

3

Note that this equation also applies to an ultrarc.dtivistic boson gas.

(b) The average number of particles in the quantum state i is given by
n; = l/(exp(a + PE,) 11, from which we have

or

and

BY

we have