EXCHANGE EFFECTS IN A 2-DIMENSIONAL FERMI-LIQUID

We investigate the possibility of simulating exchange effects in a two -dimensional fermion liquid within a model of distinguishable particle s. For this purpose, we intend to reproduce both bulk and microscopic properties of the system of N indistinguishable particles, as predicte d by the Landau theory of Fermi liquids adapted to describe a single a tomic monolayer, by means of a Hartree calculation of the ground state , the single particle spectrum and the effective interaction of a syst em of N distinguishable particles interacting via a coordinate-depende nt plus momentum-dependent interaction. It is shown that for given ori ginal two-body interactions of the smoothed square or Lennard-Jones sh ape, it is possible to construct an image system possessing the same m icroscopic properties as the original quantum liquid within a substant ial range of single particle momenta.