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The random Schödinger operator in a strip

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Probability Measures on Groups VII

Part of the book series: Lecture Notes in Mathematics ((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.

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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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  2. LACROIX J. "Singularité du spectre de l'opérateur de Schrödinger aléatoire dans un ruban ou un demiruban". Annales de l'I.H.P. Section A Vol.38 no 4 83.

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  3. KATO T. "Perturbation theory for linear operators". Springer Verlag 1966.

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Herbert Heyer

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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

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