Level Statistics of Discrete Schrodinger Equations and Orthogonal Polynomials
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概要
- 論文の詳細を見る
One-dimensional discrete Schrodinger equations (tight binding models) are analyzed from the viewpoint of level statistics. The energy levels of them are identical to the zeroes of the corresponding orthogonal polynomials. The level densities and local level correlations are calculated in the cases related to classical orthogonal polynomials. The level densities are the same as those of the random matrix ensembles which correspond to the same classical orthogonal polynomials. The local correlations of levels show perfect rigidity.
- 社団法人日本物理学会の論文
- 1993-01-15
著者
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Miki Wadati
Department Of Physics Graduate School Of Science University Of Tokyo
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Wadati M
Univ. Tokyo
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Wadati Miki
Department Of Physics Graduate School Science University Of Tokyo
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NAGAO Taro
Department of Physics,Graduate School of Science,Osaka University
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Nagao T
Gunma Univ. Gunma
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Wadati Miki
Department Of Physics Faculty Of Science Tokyo University Of Science
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Nagao Taro
Department Of Physics Faculty Of Science Osaka University
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