Abstract
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.
| Original language | English |
|---|---|
| Pages (from-to) | 525-528 |
| Number of pages | 4 |
| Journal | Comptes Rendus Mathematique |
| Volume | 341 |
| Issue number | 8 |
| DOIs | |
| State | Published - Oct 15 2005 |
Bibliographical note
Funding Information:E-mail addresses: [email protected] (F. Germinet), [email protected] (P. Hislop), [email protected] (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.
Funding
E-mail addresses: [email protected] (F. Germinet), [email protected] (P. Hislop), [email protected] (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.
| Funders | Funder number |
|---|---|
| National Science Foundation (NSF) | DMS-0200710, DMS-0202656 |
ASJC Scopus subject areas
- General Mathematics