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Confined Harmonically Interacting Spin-Polarized Fermions in a Magnetic Field: Thermodynamics

S. Foulon·F. Brosens·J. T. Devreese·L. F. Lemmens
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Abstract

We investigate the combined influence of a magnetic field and a harmonic interparticle interaction on the thermodynamic properties of a finite number of spin polarized fermions in a confiment potential. This study is an extension using our path integral approach of symmetrized density matrices for identical particles. The thermodynamical properties are calculated for a three dimensional model of N harmonically interacting spin polarized fermions in a parabolic potential well in the presence of a magnetic field. The free energy and the internal energy are obtained for a limited number of particles. Deviations from the thermodynamical limit become negligible for about 100 or more particles, but even for a smaller number of fermions present in the well, scaling relations similar to those of the continuum approximation to the density of states are already satisfied.

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S. Foulon, F. Brosens, J. T. Devreese, L. F. Lemmens. 1999-01-08. Confined Harmonically Interacting Spin-Polarized Fermions in a Magnetic Field: Thermodynamics. https://doi.org/10.1103/physreve.59.3911

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