Long-Range Spectral Statistics of Classically Integrable Systems : Investigation along the Line of the Berry-Robnik Approach(Condensed Matter and Statistical Physics)
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概要
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Extending the argument of a previous paper [H. Makino and S. Tasaki, Phys. Rev. E 67 (2003), 066205] to the long-range spectral statistics of classically integrable quantum systems, we examine the level number variance, spectral rigidity and two-level cluster function. These observables are obtained by applying the approach of Berry and Robnik [M. V. Berry and M. Robnik, J. of Phys. A 17 (1984), 2413] and the mathematical framework of Pandey [A. Pandey, Ann. of Phys. 119 (1979), 170] to systems with infinitely many components, and they are parameterized by a single function c^^-, where c^^-=0 corresponds to Poisson statistics, and c^^-≠0 indicates deviations from Poisson statistics. This implies that even when the spectral components are statistically independent, non-Poissonian spectral statistics are possible.
- 理論物理学刊行会の論文
- 2005-11-25
著者
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TASAKI Shuichi
Department of Applied Physics, Waseda University
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Tasaki Shuichi
Waseda Univ. Tokyo Jpn
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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 Hironori
Department Of Applied Physics Waseda University
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