Quantum Level Statistics of Gaussian Ensembles in One-Dimensional Conservative System(2) Equilibrium and nonequilibrium statistical mechanics in systems showing chaos and quantum chaos, Chaos and Nonlinear Dynamics in Quantum-Mechanical and Macroscopic Sy
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概要
- 論文の詳細を見る
ガウス不変集団に従う量子エネルギー準位統計を持つ一次元保存系を数値的に研究した。一次元保存系は可積分であることが証明されている。一方、カオス系の固有値を充分多数有限個持つようなポテンシャルを数値的には構成することができることも示されている。ポテンシャルの数値的構成法として最急降下法とdressing法を採用した。ポテンシャル形状はフラクタル的となり、そのフラクタル次元は数値的に1.7と求められた。
- 物性研究刊行会の論文
- 2005-06-20
著者
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YOSHINAGA Naotaka
Department of Physics, College of Liberal Arts, Saitama University
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SAKAMOTO Shoichi
Department of Obstetrics and Gyleecology. Faculty of Medicine. University of Tokyo
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Sakamoto Shoichi
Department Of Applied Physics Seikei University
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Tomiya Mitsuyoshi
Department of Applied Physics, Seikei University
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Tomiya Mitsuyoshi
Department Of Applied Physics Seikei University
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Tomiya Mitsuyoshi
Department Of Applied Physics Faculty Of .engineering Seikei University
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Yoshinaga Naotaka
Department Of Physics College Of Liberal Arts Saitama University
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Sakamoto Shoichi
Department Applied Physics Seikei University
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SAKAMOTO Shoichi
Department of Applied Physics, Seikei University
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