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

P. M.W. Gill; D. P. O'Neill

doi:10.1063/1.1862237

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

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

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

36 Citations (Scopus)

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.

Original language	English
Article number	094110
Journal	Journal of Chemical Physics
Volume	122
Issue number	9
DOIs	https://doi.org/10.1063/1.1862237
Publication status	Published - 2005

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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.",

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

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