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Correlation energy of two electrons in the high-density limit

Loos, Pierre-François; Gill, Peter M. W.

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We consider the high-density-limit correlation energy Ec in D≥2 dimensions for the ¹Sground states of three two-electron systems: helium (in which the electrons move in a Coulombic field), spherium (in which they move on the surface of a sphere), and hookium (in which they move in a quadratic potential). We find that the Ec values are strikingly similar, depending strongly on D but only weakly on the external potential. We conjecture that for large D, the limiting correlation energy Ec∼−δ2/8 in...[Show more]

dc.contributor.authorLoos, Pierre-François
dc.contributor.authorGill, Peter M. W.
dc.date.accessioned2015-11-25T23:43:49Z
dc.date.available2015-11-25T23:43:49Z
dc.identifier.issn0021-9606
dc.identifier.urihttp://hdl.handle.net/1885/16813
dc.description.abstractWe consider the high-density-limit correlation energy Ec in D≥2 dimensions for the ¹Sground states of three two-electron systems: helium (in which the electrons move in a Coulombic field), spherium (in which they move on the surface of a sphere), and hookium (in which they move in a quadratic potential). We find that the Ec values are strikingly similar, depending strongly on D but only weakly on the external potential. We conjecture that for large D, the limiting correlation energy Ec∼−δ2/8 in any confining external potential, where δ=1/(D−1).
dc.description.sponsorshipP.M.W.G. thanks the APAC Merit Allocation Scheme for a grant of supercomputer time, and the Australian Research Council Grant Nos. DP0664466 and DP0771978 for funding.
dc.publisherAmerican Institute of Physics (AIP)
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 26/11/15). Copyright 2009 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 Journal of Chemical Physics and may be found at https://doi.org/10.1063/1.3275519
dc.sourceJournal of Chemical Physics
dc.subjectKeywords: Correlation energy; Coulombic field; External potential; High-density; High-density limit; Two-electron systems; Helium; Electrons
dc.titleCorrelation energy of two electrons in the high-density limit
dc.typeJournal article
local.description.notesImported from ARIES
local.identifier.citationvolume131
dc.date.issued2009-12-22
local.identifier.absfor030701
local.identifier.ariespublicationu4217927xPUB433
local.publisher.urlhttps://www.aip.org/
local.type.statusPublished Version
local.contributor.affiliationLoos, Pierre-Francois, College of Physical and Mathematical Sciences, CPMS Research School of Chemistry, RSC General, The Australian National University
local.contributor.affiliationGill, Peter, College of Physical and Mathematical Sciences, CPMS Research School of Chemistry, RSC General, The Australian National University
dc.relationhttp://purl.org/au-research/grants/arc/DP0664466
dc.relationhttp://purl.org/au-research/grants/arc/DP0771978
local.identifier.essn1089-7690
local.bibliographicCitation.issue24
local.bibliographicCitation.startpage241101
local.bibliographicCitation.lastpage4
local.identifier.doi10.1063/1.3275519
dc.date.updated2016-02-24T10:43:30Z
local.identifier.scopusID2-s2.0-73649110603
local.identifier.thomsonID000273217000001
CollectionsANU Research Publications

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