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Numerical studies on the Anderson localization problem

โœ Scribed by J. Stein; U. Krey


Publisher
Elsevier Science
Year
1981
Tongue
English
Weight
717 KB
Volume
106
Category
Article
ISSN
0378-4371

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On the Time โ€“ Dependent Approach to Ande
โœ Dirk Hundertmark ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 201 KB

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