Analytic inhomogeneous electron liquid and its density for model spin-compensated two-electron atomic ions with Coulomb confinement: an exact nonrelativistic Hamiltonian

Author: Amovilli C.  

Publisher: Taylor & Francis Ltd

ISSN: 0031-9104

Source: Physics and Chemistry of Liquids, Vol.46, Iss.3, 2008-06, pp. : 238-241

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Abstract

In earlier work, Howard and March (HM) proposed an analytic ground-state electron density ρ(r) starting from the s-wave model of the He atom. Subsequently Ancarani has constructed by numerical methods a variational approach for this s-wave model with a lower energy than the HM result. This clearly means that the HM ρ(r) is not the ground-state electron density of the He s-wave model. Therefore, we derive here an exact nonrelativistic Hamiltonian, with strong radial correlation plus Coulomb confinement, for which the HM ρ(r) is indeed the ground-state electron density.