On the Time - Dependent Approach to Anderson Localization

Dirk Hundertmark

Type: Article

Publication Date: 2000-06-01

Citations: 18

DOI: https://doi.org/10.1002/1522-2616(200006)214:1<25::aid-mana25>3.0.co;2-z

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 Hölder continuous measures.

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