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.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
LACROIX J. "Localisation pour l'opérateur de Schrödinger aléatoire dans un ruban". Annales de l'I.H.P. Section A 83 — à paraître.
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.
KATO T. "Perturbation theory for linear operators". Springer Verlag 1966.
TUTUBALIN "On limit theorems for the product of random matrices". Theory of Proba. Applic. 10 (1965) p. 15–27.
H. FURSTENBERG and I. TZKONI "Spherical functions and integral geometry". Israël J. Math-10 (1971) 327–338.
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1984 Springer-Verlag
About this paper
Cite this paper
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
Download citation
DOI: https://doi.org/10.1007/BFb0073648
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-13341-4
Online ISBN: 978-3-540-38874-6
eBook Packages: Springer Book Archive