Statistical Mechanics · Problem 8.15

Statistical Mechanics of Interacting Systems: The Method of Cluster Expansions — R. K. Pathria

Physics — Statistical Mechanics · paramagnetic-susceptibility-fermi-gas

Problem

Show that expression (8.2.20) for the paramagnetic susceptibility of an ideal Fermi gas can be written in the form

\chi = \frac{n\mu^{*2}}{kT}\frac{f_{1/2}(z)}{f_{3/2}(z)}.

Using this result, verify eqns (8.2.24) and (8.2.27).