Diffusion on GL (N,C)/U (N) and Eigenvalue Density for N→∞Limit
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概要
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Studied is the probability density of random herrnitian matrices which is naturally obtained bythe diffusion on GLEN, C)/U(N). The exact expression for the 'n-point correlation is obtainedby the orthogonal polynomial method. The eigenvalue density is evaluated in the large N limitand the result is compared with the senui-circle law of the Gaussian Unitary Ensemble (GUE).In the analysis, the method developed by Kazakov is made use of.
- 社団法人日本物理学会の論文
- 1998-02-15
著者
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Wadati Miki
Department Of Physics Faculty Of Science Tokyo University Of Science
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AKUZAWA Toshinao
Department of Physics,Graduate School of Science,University of Tokyo
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Akuzawa Toshinao
Department Of Physics Graduate School Of Science University Of Tokyo
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