We prove exponential localization for the Schrödinger operator with a Poisson random potential at the bottom of the spectrum in any dimension. We also prove exponential localization in a prescribed interval for all large Poisson densities. In addition, we obtain dynamical localization and finite multiplicity of the eigenvalues.
|Number of pages||4|
|Journal||Comptes Rendus Mathematique|
|State||Published - Oct 15 2005|
Bibliographical noteFunding Information:
E-mail addresses: firstname.lastname@example.org (F. Germinet), email@example.com (P. Hislop), firstname.lastname@example.org (A. Klein). 1 Currently visiting the Université de Paris Nord with support from the CNRS. 2 Partially supported by NSF Grant DMS-0202656. 3 Partially supported by NSF Grant DMS-0200710.
ASJC Scopus subject areas
- Mathematics (all)