Title 



Differential equation for the groundstate density of artificial twoelectron atoms with harmonic confinement


Author 





Abstract 



A longterm aim of density functional theory is to obtain a differential equation for the groundstate electron density rho(r) in a closedshell 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 twoelectron system, with u(r(12)) = lambda/r(12)(2), to construct a secondorder linear differential equation for rho(r). This is compared and contrasted with available results for different choices of u(r(12)).  

Language 



English


Source (journal) 



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

Publication 



London : 2005


ISSN 



03054470


Volume/pages 



38:24(2005), p. L439L442


ISI 



000230677700001


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