Non-Poissonian Level Spacing Statistics of Classically Integrable Quantum Systems Based on the Berry-Robnik Approach
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概要
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Along the line of thoughts of Berry and Robnik, we investigated the gap distribution function of systems with infinitely many independent components, and discussed the level-spacing distribution of classically integrable quantum systems. The level spacing distribution is classified into three cases: Case 1: Poissonian if μ^^-(+∞) = 0, Case 2: Poissonian for large S, but possibly not for small S if 0 < μ^^-(+∞) < 1, and Case 3: sub-Poissonian if μ^^-(+∞) = 1. Thus, even when the energy levels of individual components are statistically independent, non-Poisson level spacing distributions are possible.
- 理論物理学刊行会の論文
- 2003-09-30
著者
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TASAKI Shuichi
Department of Applied Physics, Waseda University
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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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MAKINO Hironori
Department of Applied Physics, Waseda University
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Makino H
Department Of Human And Information Science Tokai University
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Makino Hironori
Department Of Applied Physics Waseda University
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TASAKI Shuichi
Department of Physics, Kyoto University
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