Closed-form expressions for correlated density matrices: application to dispersive interactions and example of (He)2

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dc.creatorRagot, Sebastien
dc.creatorBecker, Pierre J.
dc.date2006-06-15
dc.date.accessioned2026-07-07T09:21:18Z
dc.date.available2026-07-07T09:21:18Z
dc.descriptionEmpirically correlated density matrices of N-electron systems are investigated. Exact closed-form expressions are derived for the one- and two-electron reduced density matrices from a general pairwise correlated wave function. Approximate expressions are proposed which reflect dispersive interactions between closed-shell centro-symmetric subsystems. Said expressions clearly illustrate the consequences of second-order correlation effects on the reduced density matrices. Application is made to a simple example: the (He)2 system. Reduced density matrices are explicitly calculated, correct to second order in correlation, and compared with approximations of independent electrons and independent electron pairs. The models proposed allow for variational calculations of interaction energies and equilibrium distance as well as a clear interpretation of dispersive effects on electron distributions. Both exchange and second order correlation effects are shown to play a critical role on the quality of the results.
dc.description22 pages
dc.identifierhttps://arxiv.org/abs/physics/0606140
dc.identifierhttp://arxiv.org/abs/physics/0606140
dc.identifierJ. Chem. Phys. 125, 154109 (2006)
dc.identifierdoi:10.1063/1.2358977
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/154976
dc.subjectChemical Physics
dc.subjectClassical Physics
dc.titleClosed-form expressions for correlated density matrices: application to dispersive interactions and example of (He)2
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