Interacting inhomogeneous electron liquids with harmonic confinement: s-wave model

Abstract

In an earlier work by Holas et al. [A. Holas, I.A. Howard, N.H. March. Phys. Lett. A, 310, 451 (2003)], the ground-state electron density ρ( r ) for model two-electron spin-compensated atoms was obtained in terms of the relative motion wave function for the case of harmonic confinement and arbitrary interparticle interaction u(r 12). Following recent interest in the s-wave approximation to ρ( r ) for Coulombic potential energy at separation r 12 between the electrons, we here consider both harmonic interaction u(r 12) proportional to and also the inverse square law . The interplay between correlation and confinement clearly emerges in such spin-compensated models of interacting inhomogeneous electron liquids.