Physical Sciences and Mathematics Commons^™

Bulk Properties Of A Fermi Gas In A Magnetic Field, Michael T. Strickland, Veronica Dexheimer, D.P. Menezes

Physics and Astronomy Faculty Publications

We calculate the number density, energy density, transverse pressure, longitudinal pressure and magnetization of an ensemble of spin one-half particles in the presence of a homogeneous background magnetic field. The magnetic field direction breaks spherical symmetry causing the pressure parallel to it. We present explicit formulae appropriate at zero and finite temperature for both charged and uncharged particles including the effect of the anomalous magnetic moment. We demonstrate that the resulting expressions satisfy the canonical relations, omega = -P_II and P_{perpendicular} = P_II- MB with M = (delta)(omega)/(delta)(beta) being the magnetization of the system. We numerically …