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          Institute: MPI für Kernphysik     Collection: Theory of Chaos, Fields and Statistical Inference     Display Documents



ID: 60871.0, MPI für Kernphysik / Theory of Chaos, Fields and Statistical Inference
Review of the k-body embedded ensembles of Gaussian random matrices
Authors:Benet, L.; Weidenmüller, H.A.
Language:English
Date of Publication (YYYY-MM-DD):2003-03-28
Title of Journal:Journal of Physics A: Mathematical and General
Journal Abbrev.:J. Phys. A: Math. Gen.
Volume:36
Start Page:3569
End Page:3593
Copyright:Acrobat PDF (669 KB)



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Copyright © Institute of Physics and IOP Publishing Limited 2004.
Review Status:Peer-review
Audience:Experts Only
Abstract / Description:The embedded ensembles were introduced by Mon and French (1975 Ann. Phys., NY 95 90) 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.
External Publication Status:published
Document Type:Article
Affiliations:MPI für Kernphysik/Guest Groups and Emeriti/Theory (H.A. Weidenmüller)
External Affiliations:Centro de Ciencias Físicas, UNAM (Unidad Morelos), 62210 Cuernavaca, Mor, Mexico
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