%0 Journal Article
%T The Thermodynamic Pressure of a Dilute Fermi Gas
%A Robert Seiringer
%J Mathematics
%D 2004
%I arXiv
%R 10.1007/s00220-005-1433-3
%X We consider a gas of fermions with non-zero spin at temperature $T$ and chemical potential $\mu$. We show that if the range of the interparticle interaction is small compared to the mean particle distance, the thermodynamic pressure differs to leading order from the corresponding expression for non-interacting particles by a term proportional to the scattering length of the interparticle interaction. This is true for any repulsive interaction, including hard cores. The result is uniform in the temperature as long as $T$ is of the same order as the Fermi temperature, or smaller.
%U http://arxiv.org/abs/math-ph/0412086v1