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Classical and Quantum Mechanical Analysis of Order and Chaos in the Discrete Self-Trapping Equation

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Nonlinearity with Disorder

Part of the book series: Springer Proceedings in Physics ((SPPHY,volume 67))

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Abstract

Results for the classical discrete self-trapping (DST) equation with few degrees of freedom and varying degrees of nonlinearity are reported. The effect of order and chaos on the corresponding quantum DST equation is demonstrated. Linear and nonlinear localization is found in a many degrees of freedom DST model of a globular protein molecule.

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Author information

Author notes

  1. L. Cruzeiro-Hansson

    Present address: Department of Crystallography, Birkbeck College, University of London, Malet Street, London, WC1E 7HX, UK

  2. H. Feddersen

    Present address: Department of Mathematics, Heriot-Watt University, Riccarton, Edinburgh, EH14 4AS, Scotland

  3. R. Flesch

    Present address: Research Center of Crete, P.O. Box 1527, GR-711.10, Heraklion, Crete, Greece

  4. M. Salerno

    Present address: Department of Theoretical Physics, University of Salerno, I-84100, Salerno, Italy

Authors and Affiliations

  1. Laboratory of Applied Mathematical Physics, The Technical University of Denmark, DK-2800, Lyngby, Denmark

    P. L. Christiansen & A. C. Scott

Authors
  1. P. L. Christiansen
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  2. L. Cruzeiro-Hansson
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  3. H. Feddersen
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  4. R. Flesch
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  5. M. Salerno
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  6. A. C. Scott
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Editor information

Editors and Affiliations

  1. Thermal Physics Department, Uzbek Academy of Sciences, Tashkent-135, Katartal Str. 28, Chilanzar, Uzbekistan

    Fatkulla Abdullaev

  2. Los Alamos National Laboratories, 87545, Los Alamos, NM, USA

    Alan R. Bishop

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© 1992 Springer-Verlag Berlin Heidelberg

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Christiansen, P.L., Cruzeiro-Hansson, L., Feddersen, H., Flesch, R., Salerno, M., Scott, A.C. (1992). Classical and Quantum Mechanical Analysis of Order and Chaos in the Discrete Self-Trapping Equation. In: Abdullaev, F., Bishop, A.R., Pnevmatikos, S. (eds) Nonlinearity with Disorder. Springer Proceedings in Physics, vol 67. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-84774-5_6

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  • DOI: https://doi.org/10.1007/978-3-642-84774-5_6

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-84776-9

  • Online ISBN: 978-3-642-84774-5

  • eBook Packages: Springer Book Archive

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