Statistical Mechanics · Problem 8.11

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

Physics — Statistical Mechanics · fermi-gas-high-low-temperature-limits

Problem

Examine results (ii) and (iii) of the preceding problem in the high-temperature limit (

T \gg T_F

) as well as in the low-temperature limit (

T \ll T_F

), and compare the resulting expressions with the ones pertaining to a nonrelativistic gas and an extreme relativistic gas in three dimensions.