Proposed definitions of the correlation energy density from a Hartree-Fock starting point: The two-electron Moshinsky model atom as an exactly solvable model

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dc.creatorMarch, N. H.
dc.creatorCabo, A.
dc.creatorClaro, F.
dc.creatorAngilella, G. G. N.
dc.date2008-03-18
dc.date.accessioned2026-07-07T09:30:03Z
dc.date.available2026-07-07T09:30:03Z
dc.descriptionIn both molecular physics and condensed matter theory, deeper understanding of the correlation energy density epsilon_c (r) remains a high priority. By adopting Loewdin's definition of correlation energy as the difference between the exact and the Hartree-Fock values, here we propose two alternative routes to define this. One of these involves both exact and Hartree-Fock (HF) wavefunctions, while the second requires a coupling constant integration. As an exact analytical example of the first route, we treat the two-electron model atom of Moshinsky, for which both confinement potential and interactions are harmonic. Though the correlation energy density epsilon_c (r) is known analytically, we also investigate numerically its relation to the exact ground-state density in this example.
dc.descriptionTo appear in Phys. Rev. A
dc.identifierhttps://arxiv.org/abs/0803.2594
dc.identifierhttp://arxiv.org/abs/0803.2594
dc.identifierPhys. Rev. A 77 (2008) 042504
dc.identifierdoi:10.1103/PhysRevA.77.042504
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/158006
dc.subjectOther Condensed Matter
dc.titleProposed definitions of the correlation energy density from a Hartree-Fock starting point: The two-electron Moshinsky model atom as an exactly solvable model
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