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.|
|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.|
|Copyright:||Acrobat PDF (669 KB)|
References - including HyperCite® links
Information about filing cabinet
Articles citing this article - including HyperCite® links
Delete this article from filing cabinet
Information about J. Phys. A: Math. Gen.
SFX links for this article
Previous article | Next article | This volume | Table of contents
Author: Vol/Year: Issue: Page/Article No:
Copyright © Institute of Physics and IOP Publishing Limited 2004.
|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|
|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|
The scope and number of records on eDoc is subject
to the collection policies defined by each institute
- see "info" button in the collection browse view.