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Relevance of the Localization to Quasienergy Statistics in Quantum Chaotic Systems

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Order,Disorder and Chaos in Quantum Systems

Part of the book series: Operator Theory: Advances and Applications ((OT,volume 46))

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Abstract

Statistical properties of quasienergy spectra and structure of eigenfunctions are investigated for some model which is strongly chaotic in the semiclassical limit. The main attention is paid to the influence of the localization on the spacing distribution of the nearest levels depending on the degree of localization. Definition of localization length for chaotic states is discussed for the finite basis with the limiting case of fully extended random states. Scaling properties of spectra are studied in the intermediate region of suppressed quantum chaos.

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© 1990 Birkhäuser Verlag Basel

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Izrailev, F.M. (1990). Relevance of the Localization to Quasienergy Statistics in Quantum Chaotic Systems. In: Exner, P., Neidhardt, H. (eds) Order,Disorder and Chaos in Quantum Systems. Operator Theory: Advances and Applications, vol 46. Birkhäuser Basel. https://doi.org/10.1007/978-3-0348-7306-2_26

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  • DOI: https://doi.org/10.1007/978-3-0348-7306-2_26

  • Publisher Name: Birkhäuser Basel

  • Print ISBN: 978-3-0348-7308-6

  • Online ISBN: 978-3-0348-7306-2

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