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A solvable almost periodic Schrödinger operator

Part of the Lecture Notes in Mathematics book series (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.

Keywords

  • Orthogonal Polynomial
  • Bernoulli Shift
  • Singular Continuous Spectrum
  • Renormalization Group Equa
  • Liouville Number

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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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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  • Print ISBN: 978-3-540-13914-0

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