On localization for the Schrödinger operator with a Poisson random potential

François Germinet; Peter Hislop; Abel Klein

doi:10.1016/j.crma.2005.09.001

On localization for the Schrödinger operator with a Poisson random potential

François Germinet
, Peter Hislop
, Abel Klein

Mathematics

Producción científica: Article › revisión exhaustiva

10 Citas (Scopus)

Resumen

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.

Idioma original	English
Páginas (desde-hasta)	525-528
Número de páginas	4
Publicación	Comptes Rendus Mathematique
Volumen	341
N.º	8
DOI	https://doi.org/10.1016/j.crma.2005.09.001
Estado	Published - oct 15 2005

Nota bibliográfica

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.

Financiación

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.

Financiadores	Número del financiador
National Science Foundation (NSF)	DMS-0200710, DMS-0202656

ASJC Scopus subject areas

General Mathematics

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10.1016/j.crma.2005.09.001

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abstract = "We prove exponential localization for the Schr{\"o}dinger 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.",

author = "Fran{\c c}ois Germinet and Peter Hislop and Abel Klein",

note = "Funding Information: E-mail addresses: [email protected] (F. Germinet), [email protected] (P. Hislop), [email protected] (A. Klein). 1 Currently visiting the Universit{\'e} de Paris Nord with support from the CNRS. 2 Partially supported by NSF Grant DMS-0202656. 3 Partially supported by NSF Grant DMS-0200710.",

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AU - Germinet, François

AU - Hislop, Peter

AU - Klein, Abel

N1 - 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.

PY - 2005/10/15

Y1 - 2005/10/15

N2 - 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.

AB - 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.

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DO - 10.1016/j.crma.2005.09.001

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AN - SCOPUS:27644548596

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IS - 8

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On localization for the Schrödinger operator with a Poisson random potential

Resumen

Nota bibliográfica

Financiación

ASJC Scopus subject areas

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