Statistical Properties of Eigenfunctions for Quantum Billiards with and without Positive Lyapunov Exponent
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概要
- 論文の詳細を見る
Statistical properties of eigenfunctions of quantum polygonal and dispersing billiards are numerically investigated in detail. Residual parameter and skewness, which estimate the deviation of amplitude distribution from the Gaussian distribution, are obtained for hundreds of eigenfunctions. Almost all eigenfunctions of the dispersing billiards show random pattern. For polygonal billiards, it is found that the majority shows quite complicated pattern, but some eigenfunctions are highly regular. Among them two types of highly regular pattern are conspicuous, and both eigenfunctions are apparently influenced by the vertices. The difference between the origin of irregular eigenfunctions of the dispersing billiards and that of the polygonal billiards is also discussed.
- 理論物理学刊行会の論文
- 1994-08-12
著者
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Shudo Akira
Institute For Molecular Science
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Shudo Akira
Institute Of Molecular Science
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SHIMIZU Yasushi
Department of Obstetrics and Gynecology,Akita University Graduate School of Medicine
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Shimizu Y
Department Of Applied Physics Tokyo Institute Of Technology
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Shimizu Yasushi
Department Of Anatomy Tokyo Dental College
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SHUDO Akira
Department of Physics, Tokyo Metropolitan University
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