Review of thek-body embedded ensembles of Gaussian random matrices

L Benet, H A Weidenm ller
2003 Journal of Physics A: Mathematical and General  
The 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
more » ... supersymmetry, the binary correlation approximation, and the study of correlations between matrix elements.
doi:10.1088/0305-4470/36/12/340 fatcat:gebaxjhhjfbqtkrcu4la2xvmra