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On the Time – Dependent Approach to Anderson Localization

✍ Scribed by Dirk Hundertmark

Publisher
John Wiley and Sons
Year
2000
Tongue
English
Weight
201 KB
Volume
214
Category
Article
ISSN
0025-584X

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✦ Synopsis

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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Local Larmor clock approach to the escap
Local Larmor clock approach to the escape time
✍ J.A. López Villanueva; V. Gasparian 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 151 KB

The escape of an electron from a localized state in a quantum well with one or several surrounding barriers is analyzed using the local Larmor clock approach. We show that two time scales can be involved in the escape time problem, such as in the case of a scattering configuration. The particular ex