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

Authors: Howard, I. A.¹; March, N. H.²

Source: Physics and Chemistry of Liquids, Volume 43, Number 6, December 2005 , pp. 559-565(7)

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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 rgr

( 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 rgr

( 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.

Keywords: Inhomogeneous electron liquids; s-Wave model; Electron correlation

Document Type: Research article

DOI: http://dx.doi.org/10.1080/00319100500231703

Affiliations: 1: Department of Physics, University of Antwerp, Groenenborgerlaan 171, B-2020 Antwerp, Belgium 2: Donostia International Physics Center (DIPC), E-20080 San Sebastian, Spain

Publication date: 2005-12-01