Title
Four electrons interacting pairwise in the limit of infinitesimal confining potentials : especially the quintet spin state Four electrons interacting pairwise in the limit of infinitesimal confining potentials : especially the quintet spin state
Author
Faculty/Department
Faculty of Sciences. Physics
Publication type
article
Publication
Amsterdam ,
Subject
Physics
Chemistry
Source (journal)
Chemical physics letters. - Amsterdam
Volume/pages
536(2012) , p. 162-164
ISSN
0009-2614
ISI
000303661400032
Carrier
E
Target language
English (eng)
Full text (Publishers DOI)
Affiliation
University of Antwerp
Abstract
In very recent work, Amovilli and March have considered the Hookean atom with four electrons. In particular, they demonstrated the cross-over from a triplet P-g ground state at large harmonic force constant k to a quintet S-u configuration for weak confinement, by means primarily of diffusion quantum Monte Carlo simulation. Here, we focus on such a quintet state for again four spin half fermions but now interacting via a harmonic pair force -K r(ij). The spatial quintet Psi is then available, with its eigenvalue. Progress on calculating low-order spinless density matrices is recorded. Finally, this prompts us to examine the Amovilli-March results when extrapolated to small k not equal 0. We display as k --> 0(+) approximate results for the four-electron Hookean atom model, including fitted analytic forms for kinetic and Coulomb energy as a function of k as k --> 0(+). (C) 2012 Elsevier B. V. All rights reserved.
E-info
https://repository.uantwerpen.be/docman/iruaauth/47d88f/4472133.pdf
http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000303661400032&DestLinkType=RelatedRecords&DestApp=ALL_WOS&UsrCustomerID=ef845e08c439e550330acc77c7d2d848
http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000303661400032&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=ef845e08c439e550330acc77c7d2d848
http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000303661400032&DestLinkType=CitingArticles&DestApp=ALL_WOS&UsrCustomerID=ef845e08c439e550330acc77c7d2d848
Handle