Interpolation between Poisson and Circular Unitary Ensembles for the Number Variance in Level Statistics
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概要
- 論文の詳細を見る
Using Gaudin's model (Nucl. Phys. 85 (1966) 545), we study the asymptotic behavior of the number variance of quantum levels whose statistics is subject to a one-parameter family of the predicted distributions which lie in the Poisson and the circular unitary ensembles. It is shown that the variance function Σ^2(S) for S≫1 is a sum of a linear term and a logarithmic term, originating from the Poisson and the GUE (Gaussian unitary ensemble) results, respectively. The linearity of the leading term is attributed to Gaudin's treatment of the system as a compressible gas, thus verifying the prediction in a recent paper by Moshe, Neuberger and Shapiro (Phys. Rev. Lett. 73 (1994) 1497). A possibility of alternative treatment for incompressible gases is discussed.
- 社団法人日本物理学会の論文
- 1995-07-15
著者
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Hasegawa Hiroshi
Department Of Cardiovascular Science And Medicine Chiba University Graduate School Of Medicine
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Hasegawa H
Dept. Of Electrical Engineering & Computer Science Nagoya University
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Ma J‐z
Department Of Electronics Engineering Fukui University
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Ma Jian-zhong
Department Of Electronics Engineering Fukui University
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Hasegawa Hiroshi
Department Of Applied Physics Department Of Physics University Of Tokyo
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Hasegawa Hiroshi
Department Of Adme And Toxicology For Screening Developmental Research Laboratories Shionogi & Co. Ltd.
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