Random hermitian matrices in an external field
نویسنده
چکیده
In this article, a model of random hermitian matrices is considered, in which the measure exp(−S) contains a general U(N)-invariant potential and an external source term: S = N tr(V (M) + MA). The generalization of known determinant formulae leads to compact expressions for the correlation functions of the energy levels. These expressions, exact at finite N , are potentially useful for asymptotic analysis. PACS: 05.40.+j; 05.45.+b
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تاریخ انتشار 1997