A Functional Equation for Semiclassical Fredholm Determinant for Strongly Chaotic Billiards
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概要
- 論文の詳細を見る
We derive a functional equation for the Fredholm determinant of the boundary element method.By assuming that the functional equation holds for the semiclassical Fredholm determinant for strongly chaotic billiards, we obtain a real function whose zeros are the semiclassical eigenenergies.We also show by the numerical experiment of concave triangle billiards that the semiclassical eigenenergies are very close to the exact eigenenergies.
- 理論物理学刊行会の論文
- 2000-07-14
著者
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TASAKI Shuichi
Department of Applied Physics, Waseda University
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原山 卓久
早大理工
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SHUDO Akira
Department of Applied Physics, Waseda University
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HARAYAMA Takahisa
ATR Adaptive Communications Research Laboratories
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Shudo A
Tokyo Metropolitan Univ. Tokyo
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Shudo Akira
Department Of Applied Physics Waseda University
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Shudo Akira
Institute Of Molecular Science
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Tasaki S
Department Of Applied Physics Waseda University
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Tasaki Shuichi
Department Of Applied Physics School Of Science And Engineering Waseda University
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原山 卓久
Atr Adaptive Communications Research Laboratories
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TASAKI Shuichi
Department of Physics, Nara Women's University : Institute for Fundamental Chemistry
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TASAKI Shuichi
Department of Physics, Kyoto University
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SHUDO Akira
Department of Physics, Tokyo Metropolitan University
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