On localization for the Schrödinger operator with a Poisson random potential

François Germinet, Peter Hislop, Abel Klein

Research output: Contribution to journalArticlepeer-review

7 Scopus citations

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 languageEnglish
Pages (from-to)525-528
Number of pages4
JournalComptes Rendus Mathematique
Volume341
Issue number8
DOIs
StatePublished - Oct 15 2005

Bibliographical note

Funding Information:
E-mail addresses: germinet@math.u-cergy.fr (F. Germinet), hislop@ms.uky.edu (P. Hislop), aklein@math.uci.edu (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)

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