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The random Schödinger operator in a strip

Part of the Lecture Notes in Mathematics book series (LNM,volume 1064)

Abstract

Let H be the Schrödinger difference operator in a strip. When the sequence of potentials is a family of independant random variables with a common law, H has almost surely a pure point spectrum with exponentialy decaying eigenvectors.

Keywords

  • Symplectic Group
  • Poisson Kernel
  • Pure Point
  • Pure Point Spectrum
  • Full Dimension

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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References

  1. LACROIX J. "Localisation pour l'opérateur de Schrödinger aléatoire dans un ruban". Annales de l'I.H.P. Section A 83 — à paraître.

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© 1984 Springer-Verlag

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Lacroix, J. (1984). The random Schödinger operator in a strip. In: Heyer, H. (eds) Probability Measures on Groups VII. Lecture Notes in Mathematics, vol 1064. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0073648

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  • DOI: https://doi.org/10.1007/BFb0073648

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-13341-4

  • Online ISBN: 978-3-540-38874-6

  • eBook Packages: Springer Book Archive