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Discrete Schrödinger Operators with Random Alloy-type Potential

Elgart, Alexander and Krüger, Helge and Tautenhahn, Martin and Veselić, Ivan (2012) Discrete Schrödinger Operators with Random Alloy-type Potential. In: Spectral Analysis of Quantum Hamiltonians. Operator Theory Advances and Applications. No.224. Springer Basel , New York, pp. 107-131. ISBN 978-3-0348-0413-4. https://resolver.caltech.edu/CaltechAUTHORS:20121109-140541448

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Abstract

We review recent results on localization for discrete alloy-type models based on the multiscale analysis and the fractional moment method, respectively. The discrete alloy-type model is a family of Schrödinger operators


Item Type:Book Section
Related URLs:
URLURL TypeDescription
https://doi.org/10.1007/978-3-0348-0414-1_6DOIArticle
https://arxiv.org/abs/1107.2800arXivDiscussion Paper
https://rdcu.be/b3YkVPublisherFree ReadCube access
Additional Information:© 2012 Springer Basel.
Subject Keywords:Multiscale analysis; fractional moment method; Cartan’s Theorem; localization; discrete alloy-type model; non-monotone; sign-indefinite; singlesite potential
Series Name:Operator Theory Advances and Applications
Issue or Number:224
Classification Code:Mathematics Subject Classification (2010): 82B44, 60H25, 35J10.
Record Number:CaltechAUTHORS:20121109-140541448
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20121109-140541448
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:35394
Collection:CaltechAUTHORS
Deposited By: Jason Perez
Deposited On:13 Nov 2012 16:32
Last Modified:05 May 2020 20:40

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