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A solvable almost periodic Schrödinger operator

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Stochastic Aspects of Classical and Quantum Systems

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1109))

Abstract

The localisation properties of the solutions of almost periodic Schrödinger equations are related to the theory of dynamical systems. Here we shall proceed in a reverse way. We shall first discuss some algebraic properties of the iterations of polynomials and show that these properties are related to almost periodic schrödinger operators. The exactly solvable model introduced displays interesting features: almost periodicity, singular spectrum, chaotic states, exact renormalization group property. The relevance of this model with physical systems is also discussed.

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Author information

Authors and Affiliations

  1. Service de Physique Théorique, Centre d'Etudes Nucléaires de Salclay, 91191, Gif-Sur-Yvette - cedex, France

    Pierre Moussa & Daniel Bessis

Authors
  1. Pierre Moussa
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  2. Daniel Bessis
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Editor information

Sergio Albeverio Philippe Combe Madeleine Sirugue-Collin

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© 1985 Springer-Verlag

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Moussa, P., Bessis, D. (1985). A solvable almost periodic Schrödinger operator. In: Albeverio, S., Combe, P., Sirugue-Collin, M. (eds) Stochastic Aspects of Classical and Quantum Systems. Lecture Notes in Mathematics, vol 1109. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0101541

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  • DOI: https://doi.org/10.1007/BFb0101541

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-13914-0

  • Online ISBN: 978-3-540-39138-8

  • eBook Packages: Springer Book Archive

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