Abstract:
A study is made of the distribution of eigenvalues in a certain ensemble of random particles
that contains as a special case the ensemble used by Wigner to give a statistical
description of the energy levels of heavy nuclei, it is shown that the distribution function
of the elgenvalues divided by the factor N (the order of the matrices) becomes nonrandom
In the limit N→∞ and can be found by solving a definite functional equation.
\Bibitem{Pas72}
\by L.~A.~Pastur
\paper On the spectrum of random matrices
\jour TMF
\yr 1972
\vol 10
\issue 1
\pages 102--112
\mathnet{http://mi.mathnet.ru/tmf2643}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=475502}
\transl
\jour Theoret. and Math. Phys.
\yr 1972
\vol 10
\issue 1
\pages 67--74
\crossref{https://doi.org/10.1007/BF01035768}
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