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Journal Article

Review of the k-body embedded ensembles of Gaussian random matrices

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Benet,  L.
Prof. Hans A. Weidenmüller, Emeriti, MPI for Nuclear Physics, Max Planck Society;

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Weidenmüller,  H.A.
Prof. Hans A. Weidenmüller, Emeriti, MPI for Nuclear Physics, Max Planck Society;

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Citation

Benet, L., & Weidenmüller, H. (2003). Review of the k-body embedded ensembles of Gaussian random matrices. Journal of Physics A: Mathematical and General, 36, 3569-3593.


Cite as: https://hdl.handle.net/11858/00-001M-0000-0011-8F17-0
Abstract
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.