Study of Spectral Statistics of Classically Integrable Systems
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概要
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In this work we present the results of a study of spectral statistics for a classically integrable system, namely the rectangle billiard.We show that the spectral statistics are indeed Poissonian in the semiclassical limit for almost all such systems, the exceptions being the atypical rectangles with rational squared ratio of its sides, and of course the energy ranges larger than L_<max>=h/T_0, where T_0 is the period of the shortest periodic orbit of the system, however L_<max>→∞ when E→∞.
- 理論物理学刊行会の論文
- 2000-07-14
著者
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Robnik Marko
Center For Applied Mathematics And Theoretical Physics University Of Maribor
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ROBNIK Marko
CAMTP Center for Applied Mathematics and Theoretical Physics, University of Maribor
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