Validity of random matrix theories for many-particle systems
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Abstract The assumption of statistical independence of matrix elements leads to ensembles of Hamiltonians which involve simultaneous interactions between many particles. Then, for example, the resultant (semicircular) spectra are quite different from the Gaussian spectra found for ensembles properly restricted to involve only two-body interactions.
[1] Madan Lal Mehta,et al. Random Matrices and the Statistical Theory of Energy Levels. , 1970 .
[2] E. Wigner. Random Matrices in Physics , 1967 .
[3] E. Wigner. On the Distribution of the Roots of Certain Symmetric Matrices , 1958 .
[4] J. B. French,et al. Centroid energies and widths of nuclear configurations , 1966 .