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- W2014406982 abstract "Statistical properties of levels of quantum systems chaotic in the classical limit are studied using the distribution of avoided crossings, i.e., of the sizes of local minima of adjacent-level spacings. The results obtained previously for the two-level random-matrix theory are compared with the prediction of the statistical-mechanics description of the equivalent fictitious-particle system. The distributions derived are compared with numerical results obtained for several physical systems. The origin of the discrepancies (in former numerical calculations) of small-avoided-crossing behavior is found. The ratio of the average crossing to the average spacing is shown to have a nonuniversal behavior and seems to provide information on the degree of scarring in the system studied." @default.
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- W2014406982 date "1993-03-01" @default.
- W2014406982 modified "2023-09-23" @default.
- W2014406982 title "Parametric motion of energy levels in quantum chaotic systems. II. Avoided-crossing distributions" @default.
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- W2014406982 doi "https://doi.org/10.1103/physreve.47.1665" @default.
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