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 | ||||||||||||
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| 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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