Differential equation for the ground-state density of artificial two-electron atoms with harmonic confinement
Differential equation for the ground-state density of artificial two-electron atoms with harmonic confinement
Faculty of Sciences. Physics

article

2005
London
, 2005

Physics

Journal of physics: A: mathematical and general. - London, 1968 - 2006

38(2005)
:24
, p. L439-L442

0305-4470

000230677700001

E

English (eng)

University of Antwerp

A long-term aim of density functional theory is to obtain a differential equation for the ground-state electron density rho(r) in a closed-shell atom, the simplest example being He. Since He remains intractable analytically, artificial atoms with harmonic repulsive potential energy u(r(12)) have therefore been studied. Here we exploit recent work on rho(r) for such a two-electron system, with u(r(12)) = lambda/r(12)(2), to construct a second-order linear differential equation for rho(r). This is compared and contrasted with available results for different choices of u(r(12)).

https://repository.uantwerpen.be/docman/iruaauth/f192ca/db22229.pdf

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