Correlation energy of two electrons in the high-density limit

Pierre Fraņois Loos; Peter M.W. Gill

doi:10.1063/1.3275519

Correlation energy of two electrons in the high-density limit

Pierre Fraņois Loos^*, Peter M.W. Gill

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

32 Citations (Scopus)

Abstract

We consider the high-density-limit correlation energy E_c in D ≥ 2 dimensions for the S1 ground 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 E_c 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 E_c ∼- δ² /8 in any confining external potential, where δ=1/ (D-1).

Original language	English
Article number	241101
Journal	Journal of Chemical Physics
Volume	131
Issue number	24
DOIs	https://doi.org/10.1063/1.3275519
Publication status	Published - 2009

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10.1063/1.3275519

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abstract = "We consider the high-density-limit correlation energy Ec in D ≥ 2 dimensions for the S1 ground 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).",

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Correlation energy of two electrons in the high-density limit

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