On the time-dependent approach to Anderson localization

Hundertmark, Dirk (2000) On the time-dependent approach to Anderson localization. MATHEMATISCHE NACHRICHTEN, 214. pp. 25-38. ISSN 0025-584X

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Abstract

A simple proof of Anderson localization is obtained. This is done by giving a bound on the averaged time evolution and then ruling out the existence of any continuous spectrum for large disorder with the help of the RAGE theorem. Furthermore the decoupling lemma of AIZENMAN and MOLCHANOV is extended to its natural setting, the Holder continuous measures.

Item Type: Article
Uncontrolled Keywords: TIGHT-BINDING MODEL; SINGULAR CONTINUOUS-SPECTRUM; RANK-ONE PERTURBATIONS; LARGE DISORDER; LOW-ENERGY; OPERATORS; POTENTIALS; ABSENCE; PROOF; random Schrodinger operators; localization; Anderson model; RAGE theorem
Subjects: 500 Science > 510 Mathematics
Divisions: Mathematics
Depositing User: Dr. Gernot Deinzer
Date Deposited: 31 May 2022 09:31
Last Modified: 31 May 2022 09:31
URI: https://pred.uni-regensburg.de/id/eprint/43033

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