F. Brosens et al., CORRELATIONS IN A CONFINED GAS OF HARMONICALLY INTERACTING SPIN-POLARIZED FERMIONS, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 58(2), 1998, pp. 1634-1643
For a fermion gas with equally spaced energy levels, the density and t
he pair correlation function are obtained. The derivation is based on
the path integral approach for identical particles and the inversion o
f the generating functions for both static responses. The density and
the pair correlation function are evaluated explicitly in the ground s
tate of a confined fermion system with a number of particles ranging f
rom 1 to 220, and filling the Fermi level completely.