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 = -PII and Pperpendicular = PII- MB with M = (delta)(omega)/(delta)(beta) being the magnetization of the system. We numerically calculate the resulting pressure anisotropy for a gas of protons and a gas of neutrons and demonstrate that the inclusion of the anomalous magnetic increase the level of pressure anisotropy in both cases.
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Strickland, M., V. Dexheimer, and D.P. Menezes. “Bulk Properties of a Fermi Gas in a Magnetic Field.” Physical Review D 86 (2012): 125032-1 – 125032-15.
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Orginal version available from the publisher at: http://prd.aps.org/abstract/PRD/v86/i12/e125032