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

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Date

2005-03-01

Authors

Gill, P. M. W
O'Neill, Darragh P

Journal Title

Journal ISSN

Volume Title

Publisher

American Institute of Physics

Abstract

Closed-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.

Description

Keywords

Keywords: Correlation energy; Correlation kernel; Electron correlations; Hartree-Fock energy; Correlation methods; Electrons; Perturbation techniques; Thermodynamics

Citation

URI

http://hdl.handle.net/1885/15727

Collections

ANU Research Publications

Source

The Journal of Chemical Physics

Type

Journal article

Book Title

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DOI

10.1063/1.1862237

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