Energy level statistics for intermediate systems between chaos and integrability カオスと可積分系の中間におけるエネルギー準位統計
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著者
書誌事項
- タイトル
-
Energy level statistics for intermediate systems between chaos and integrability
- タイトル別名
-
カオスと可積分系の中間におけるエネルギー準位統計
- 著者名
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馬, 建中
- 著者別名
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マ, ジェンジョン
- 学位授与大学
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福井大学
- 取得学位
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博士 (工学)
- 学位授与番号
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甲第18号
- 学位授与年月日
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1996-03-22
注記・抄録
博士論文
目次
- Contents / p1 (0003.jp2)
- 1 General Introduction / p1 (0005.jp2)
- 2 Level statistics: Random Matrix Theory and Level Dynamics Approach / p8 (0012.jp2)
- 2.1 Introduction / p8 (0012.jp2)
- 2.2 Random Matrix Ensembles / p9 (0013.jp2)
- 2.3 Level Statistics / p10 (0014.jp2)
- 2.4 Level Dynamics Approach / p16 (0020.jp2)
- 2.5 Relation between Level Statistics and Chaos via Level Dynamics / p19 (0023.jp2)
- 3 Short-range Statistics: Level Repulsion / p24 (0028.jp2)
- 3.1 Introduction / p24 (0028.jp2)
- 3.2 A General Formula for NNS Function in terms of Correlation Functions / p26 (0030.jp2)
- 3.3 Measuring the Degree of Level Repulsion in terms of R₂ / p27 (0031.jp2)
- 3.4 Application / p29 (0033.jp2)
- 3.5 Level Dynamics results for Level Repulsion / p30 (0034.jp2)
- 4 Long-range Statistics / p34 (0038.jp2)
- 4.1 Introduction / p34 (0038.jp2)
- 4.2 Results of Level Dynamics / p35 (0039.jp2)
- 4.3 Linearity of the Asymptote of Σ²(S) and a Sum Rule / p38 (0042.jp2)
- 5 Manifestation of the Short- and Long- Range Statistics in Survival Prob-ability / p45 (0051.jp2)
- 5.1 Introduction / p45 (0051.jp2)
- 5.2 Relationship between Correlation Hole of Survival Probability and Repulsion and Compressibility of Levels / p46 (0052.jp2)
- 5.3 Result of Level Dynamics and Other Examples / p48 (0054.jp2)
- 5.4 Signature of the Sum Rule in Survival Probability / p49 (0055.jp2)
- 6 Tail Behavior of Curvature Distribution for Intermediate Statistics / p52 (0061.jp2)
- 6.1 Introduction / p52 (0061.jp2)
- 6.2 Relationship between Curvature Distribution and Spacing Distribution / p53 (0062.jp2)
- 6.3 Results of Level Dynamics Approach / p56 (0065.jp2)
- 6.4 Discussion / p59 (0068.jp2)
- 7 Summary and Discussions / p63 (0073.jp2)