Confined Harmonically Interacting Spin-Polarized Fermions in a Magnetic Field: Thermodynamics
arXiv:cond-mat/9901066 · doi:10.1103/PhysRevE.59.3911
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.
7 pages REVTEX and 8 postscript figures, accepted in Phys. Rev. E
References in corpus (2)
Cited by in corpus (6)
- Bose-Einstein condensation of two interacting particles
- Virial expansion coefficients in the harmonic approximation
- Exact results for a charged, harmonically trapped quantum gas at arbitrary temperature and magnetic field strength
- Destruction of Bose-Einstein condensate by strong interactions
- The Partition Function of a Spinor Gas
- Density of a gas of spin polarized fermions in a magnetic field