On the time-dependent approach to Anderson localization

Authors
Hundertmark, D
Citation
D. Hundertmark, On the time-dependent approach to Anderson localization, MATH NACHR, 214, 2000, pp. 25-38
Citations number
15
Categorie Soggetti
Mathematics
Journal title
MATHEMATISCHE NACHRICHTEN
ISSN journal
0025584X → ACNP
Volume
214
Year of publication
2000
Pages
25 - 38
Database
ISI
SICI code
0025-584X(2000)214:<25:OTTATA>2.0.ZU;2-0
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 o f any continuous spectrum for large disorder with the help of the RAGE theo rem. Furthermore the decoupling lemma of AIZENMAN and MOLCHANOV is extended to its natural setting, the Holder continuous measures.