Correlations in a confined gas of harmonically interacting spin-polarized fermions

Departement Natuurkunde, Universiteit Antwerpen (RUCA), Groenenborgerlaan171, B-2020 Antwerpen(March 11, 1998)For a fermion gas with equally spaced energy levels, the density and the pair correlation functionare obtained. The derivation is based on the path integral approach for identical particles and theinversion of the generating functions for both static responses. The density and the pair correlationfunction are evaluated explicitly in the ground state of a confined fermion system with a number ofparticles ranging from 1 to 220 and filling the Fermi level completely.05.30.-d, 03.75.Fi, 32.80.Pj.I. INTRODUCTION