Correlation energy of two electrons in the high-density limit
Date
2009-12-22
Authors
Loos, Pierre-François
Gill, Peter M. W.
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American Institute of Physics (AIP)
Abstract
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 any confining external potential, where δ=1/(D−1).
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Keywords: Correlation energy; Coulombic field; External potential; High-density; High-density limit; Two-electron systems; Helium; Electrons
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Journal of Chemical Physics
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