Review of the k-Body Embedded Ensembles of Gaussian Random Matrices

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dc.creatorBenet, L.
dc.creatorWeidenmueller, H. A.
dc.date2002-07-26
dc.date2003-03-17
dc.date.accessioned2026-07-07T10:48:06Z
dc.date.available2026-07-07T10:48:06Z
dc.descriptionThe embedded ensembles were introduced by Mon and French as physically more plausible stochastic models of many--body systems governed by one--and two--body interactions than provided by standard random--matrix theory. We review several approaches aimed at determining the spectral density, the spectral fluctuation properties, and the ergodic properties of these ensembles: moments methods, numerical simulations, the replica trick, the eigenvector decomposition of the matrix of second moments and supersymmetry, the binary correlation approximation, and the study of correlations between matrix elements.
dc.descriptionFinal version. 29 pages, 4 ps figures, uses iopart.sty
dc.identifierhttps://arxiv.org/abs/cond-mat/0207656
dc.identifierhttp://arxiv.org/abs/cond-mat/0207656
dc.identifierJ.Phys.A36:3569-3594,2003
dc.identifierdoi:10.1088/0305-4470/36/12/340
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/183762
dc.subjectCondensed Matter
dc.subjectChaotic Dynamics
dc.subjectNuclear Theory
dc.subjectAtomic Physics
dc.titleReview of the k-Body Embedded Ensembles of Gaussian Random Matrices
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