Invariance of the correlation energy at high density and large dimension in two-electron systems

Pierre François Loos, Peter M.W. Gill

    Research output: Contribution to journalArticlepeer-review

    29 Citations (Scopus)

    Abstract

    We prove that, in the large-dimension limit, the high-density correlation energy Ec of two opposite-spin electrons confined in a D-dimensional space and interacting via a Coulomb potential is given by Ec∼-1/(8D2) for any radial confining potential V(r). This result explains the observed similarity of Ec in a variety of two-electron systems in three-dimensional space.

    Original languageEnglish
    Article number113001
    JournalPhysical Review Letters
    Volume105
    Issue number11
    DOIs
    Publication statusPublished - 7 Sept 2010

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