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Irregular scattering in one-dimensional periodically driven systems

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Mathematical Results in Quantum Mechanics

Part of the book series: Operator Theory: Advances and Applications ((OT,volume 70))

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Abstract

We discuss the irregular scattering in a one dimensional and time periodic model. The existence of sharp quantum resonances is demonstrated. We show that these resonances appear due to tunneling between the stability island and the chaotic layer.

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Author information

Authors and Affiliations

  1. Nuclear Physics Institute, Czechoslovak Academy of Sciences, 250 68, Řež near Prague, Czechoslovakia

    Petr Šeba

Authors
  1. Petr Šeba
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Editor information

Editors and Affiliations

  1. Technische Universität Clausthal, Institut für Mathematik, Erzstrasse 1, D-38678, Clausthal-Zellerfeld, Germany

    M. Demuth

  2. Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, Head Post Office Box 79, Moscow, Russia

    P. Exner

  3. Fachbereich Mathematik MA 7-2, Technische Universität Berlin, Strasse des 17. Juni 136, D-10623, Berlin, Germany

    H. Neidhardt

  4. Université d’Aix-Marseille II et, Centre de Physique Théorique, CNRS — Luminy — Case 907, F-13288, Marseille Cedex 9, France

    V. Zagrebnov

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© 1994 Springer Basel AG

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Šeba, P. (1994). Irregular scattering in one-dimensional periodically driven systems. In: Demuth, M., Exner, P., Neidhardt, H., Zagrebnov, V. (eds) Mathematical Results in Quantum Mechanics. Operator Theory: Advances and Applications, vol 70. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8545-4_32

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  • DOI: https://doi.org/10.1007/978-3-0348-8545-4_32

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-9673-3

  • Online ISBN: 978-3-0348-8545-4

  • eBook Packages: Springer Book Archive

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