Pair function at coincidence and ground-state energy for interacting systems of two fermions with isotropic harmonic confinement and antiparallel spins

摘要

Harmonically confined isotropic two-dimensional fermion systems with different interparticle interactions are compared and contrasted. For a harmonic oscillator interparticle force, the pair correlation function n(2)(r, r') at coincidence is determined analytically and is shown to uniquely fix the ground-state energy. The two-electron Hookean atom is cited for comparison. (C) 2001 Elsevier Science B.V. All rights reserved. [References: 7]