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Electron correlation in Hooke’s law atom in the high-density limit

dc.contributor.authorGill, P. M. W
dc.contributor.authorO'Neill, Darragh P
dc.date.accessioned2015-09-29T05:45:09Z
dc.date.available2015-09-29T05:45:09Z
dc.date.issued2005-03-01
dc.date.updated2015-12-11T11:08:46Z
dc.description.abstractClosed-form expressions for the first three terms in the perturbation expansion of the exact energy and Hartree-Fock energy of the lowest singlet and triplet states of the Hooke's law atom are found. These yield elementary formulas for the exact correlation energies (-49.7028 and -5.807 65 mE(h)) of the two states in the high-density limit and lead to a pair of necessary conditions on the exact correlation kernel G(w) in Hartree-Fock-Wigner theory.
dc.description.sponsorshipThe authors also thank Professor John D. Morgan III for advice concerning Eq. s1d and both EPSRC sGrant No. GR/R81121d and the Research School of Chemistry at ANU for funding.en_AU
dc.identifier.issn0021-9606en_AU
dc.identifier.urihttp://hdl.handle.net/1885/15727
dc.publisherAmerican Institute of Physics
dc.rightshttp://www.sherpa.ac.uk/romeo/issn/0021-9606..."Publishers version/PDF may be used on author's personal website, institutional website or institutional repository" from SHERPA/RoMEO site (as at 29/09/15). Copyright 2005 American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics. The following article appeared in (Gill, P. M. W., and D. P. O’Neill. "Electron correlation in Hooke’s law atom in the high-density limit." The Journal of chemical physics 122.9 (2005): 094110.) and may be found at https://doi.org/10.1063/1.1862237
dc.sourceThe Journal of Chemical Physics
dc.subjectKeywords: Correlation energy; Correlation kernel; Electron correlations; Hartree-Fock energy; Correlation methods; Electrons; Perturbation techniques; Thermodynamics
dc.titleElectron correlation in Hooke’s law atom in the high-density limit
dc.typeJournal article
local.bibliographicCitation.issue9en_AU
local.bibliographicCitation.lastpage4
local.bibliographicCitation.startpage094110en_AU
local.contributor.affiliationGill, Peter, College of Physical and Mathematical Sciences, CPMS Research School of Chemistry, RSC General, The Australian National Universityen_AU
local.contributor.affiliationO'Neill, Darragh, College of Physical and Mathematical Sciences, CPMS Research School of Chemistry, RSC General, The Australian National Universityen_AU
local.contributor.authoruidu1586534en_AU
local.description.notesImported from ARIESen_AU
local.description.refereedYes
local.identifier.absfor030701en_AU
local.identifier.ariespublicationMigratedxPub10677en_AU
local.identifier.citationvolume122en_AU
local.identifier.doi10.1063/1.1862237en_AU
local.identifier.scopusID2-s2.0-22944467825
local.publisher.urlhttps://www.aip.org/en_AU
local.type.statusPublished Versionen_AU

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