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

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


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.

CollectionsANU Research Publications
Date published: 2005-03-01
Type: Journal article
Source: The Journal of Chemical Physics
DOI: 10.1063/1.1862237


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