An Integration Method on Generalized Circular Ensembles
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- Nagao Taro
- Department of Physics, Faculty of Science, University of Tokyo
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- Wadati Miki
- Department of Physics, Faculty of Science, University of Tokyo
書誌事項
- タイトル別名
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- Integration Method on Generalized Circul
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抄録
Dyson’s circular ensembles of random matrices have been successfully applied to account for the statistical properties of complex spectra. We present an integration method on generalized circular ensembles. In order to express the correlation functions of unitary ensembles, Szegö’s orthogonal polynomials on the unit circle are used. Further, we introduce skew orthogonal polynomials on the unit circle to derive the correlation functions of orthogonal and symplectic ensembles.
収録刊行物
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- Ｊｏｕｒｎａｌ ｏｆ ｔｈｅ Ｐｈｙｓｉｃａｌ Ｓｏｃｉｅｔｙ ｏｆ Ｊａｐａｎ
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Ｊｏｕｒｎａｌ ｏｆ ｔｈｅ Ｐｈｙｓｉｃａｌ Ｓｏｃｉｅｔｙ ｏｆ Ｊａｐａｎ 61 (6), 1903-1909, 1992
一般社団法人 日本物理学会
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詳細情報 詳細情報について
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- CRID
- 1390282679155467648
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- NII論文ID
- 110001969864
- 130003741251
- 210000096746
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- NII書誌ID
- AA00704814
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- BIBCODE
- 1992JPSJ...61.1903N
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- ISSN
- 13474073
- 00319015
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- MRID
- 1177975
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- NDL書誌ID
- 3766487
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- 本文言語コード
- en
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- データソース種別
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- JaLC
- NDL
- Crossref
- CiNii Articles
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- 抄録ライセンスフラグ
- 使用不可
