Title
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
Author
Faculty/Department
Faculty of Sciences. Physics
Publication type
article
Publication
London ,
Subject
Physics
Source (journal)
Journal of physics: A: mathematical and general. - London, 1968 - 2006
Volume/pages
38(2005) :24 , p. L439-L442
ISSN
0305-4470
ISI
000230677700001
Carrier
E
Target language
English (eng)
Full text (Publishers DOI)
Affiliation
University of Antwerp
Abstract
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)).
E-info
https://repository.uantwerpen.be/docman/iruaauth/f192ca/db22229.pdf
http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000230677700001&DestLinkType=RelatedRecords&DestApp=ALL_WOS&UsrCustomerID=ef845e08c439e550330acc77c7d2d848
http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000230677700001&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=ef845e08c439e550330acc77c7d2d848
http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000230677700001&DestLinkType=CitingArticles&DestApp=ALL_WOS&UsrCustomerID=ef845e08c439e550330acc77c7d2d848
Handle