Physics – Condensed Matter – Statistical Mechanics
Scientific paper
1999-01-08
Physics
Condensed Matter
Statistical Mechanics
7 pages REVTEX and 8 postscript figures, accepted in Phys. Rev. E
Scientific paper
10.1103/PhysRevE.59.3911
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.
Brosens F.
Devreese J. T.
Foulon S.
Lemmens L. F.
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