F. Brosens et al., CONFINED HARMONICALLY INTERACTING SPIN-POLARIZED FERMIONS, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 57(4), 1998, pp. 3871-3877
The thermodynamical properties are calculated for a three-dimensional
model of N harmonically interacting spin-polarized fermions in a parab
olic potential well. The obtained dependences of the chemical potentia
l and of the internal energy on the complete range of the temperature
and of the number of particles turn out to obey a scaling law, similar
to the scaling from the continuum approximation for the density of st
ates. The calculational technique is based on our path-integral approa
ch of symmetrized density matrices for identical particles in a parabo
lic confining well.