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:

URL	URL Type	Description
https://doi.org/10.1007/978-3-0348-0414-1_6	DOI	Article
https://arxiv.org/abs/1107.2800	arXiv	Discussion Paper
https://rdcu.be/b3YkV	Publisher	Free ReadCube access

Additional Information:

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.

DOI:

10.1007/978-3-0348-0414-1_6

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:

09 Nov 2021 23:14

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