CORRELATION-FUNCTIONS OF RANDOM MATRIX-ENSEMBLES RELATED TO CLASSICAL ORTHOGONAL POLYNOMIALS .2.

被引：42

作者：

NAGAO, T

WADATI, M

机构：

[1] Department of Physics, Faculty of Science, University of Tokyo, Bunkyo-ku, Tokyo 113

来源：

JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN | 1992年 / 61卷 / 01期

关键词：

D O I：

10.1143/JPSJ.61.78

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Correlation functions of real symmetric random matrix ensembles are expressed by corresponding skew orthogonal polynomials. The skew orthogonal polynomials related to classical orthogonal polynomials are presented in a compact way and the correlation functions in the thermodynamic limit are exactly evaluated in several special cases. The local correlation functions in these cases are identical to those of the Gaussian ensemble.

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页码：78 / 88

页数：11

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