Statistical Mechanics · Problem 8.14

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

Physics — Statistical Mechanics · pauli-paramagnetism-fermions-arbitrary-spin

Problem

Investigate the Pauli paramagnetism of an ideal gas of fermions with intrinsic magnetic moment

\mu^*

and spin

J\hbar

(

J = \frac{1}{2}, \frac{3}{2}, \ldots

), and derive expressions for the low-temperature and high-temperature susceptibilities of the gas.