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

38 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

Access to Document

10.1063/1.1862237

Cite this

@article{9da6c222d8fc4cfd9e5e32ef0132035e,

title = "Electron correlation in Hooke's law atom in the high-density limit",

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.",

author = "Gill, \{P. M.W.\} and O'Neill, \{D. P.\}",

year = "2005",

doi = "10.1063/1.1862237",

language = "English",

volume = "122",

journal = "Journal of Chemical Physics",

issn = "0021-9606",

publisher = "American Institute of Physics",

number = "9",

}

TY - JOUR

T1 - Electron correlation in Hooke's law atom in the high-density limit

AU - Gill, P. M.W.

AU - O'Neill, D. P.

PY - 2005

Y1 - 2005

N2 - 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.

AB - 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.

UR - https://www.scopus.com/pages/publications/22944467825

U2 - 10.1063/1.1862237

DO - 10.1063/1.1862237

M3 - Article

SN - 0021-9606

VL - 122

JO - Journal of Chemical Physics

JF - Journal of Chemical Physics

IS - 9

M1 - 094110

ER -

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

Abstract

Access to Document

Other files and links

Fingerprint

Cite this