LOCALIZATIONS AT INFINITY AND ESSENTIAL SPECTRUM OF QUANTUM HAMILTONIANS I: GENERAL THEORY-Reference-Cited by-同舟云学术

LOCALIZATIONS AT INFINITY AND ESSENTIAL SPECTRUM OF QUANTUM HAMILTONIANS I: GENERAL THEORY

Published:2006-05 Issue:04 Volume:18 Page:417-483
ISSN:0129-055X
Container-title:Reviews in Mathematical Physics
language:en
Short-container-title:Rev. Math. Phys.

Author:

GEORGESCU VLADIMIR¹,IFTIMOVICI ANDREI¹

Affiliation:

1. CNRS (UMR 8088) and Department of Mathematics, University of Cergy-Pontoise, 2, Avenue Adolphe Chauvin, 95302 Cergy-Pontoise Cedex, France

Abstract

We isolate a large class of self-adjoint operators H whose essential spectrum is determined by their behavior at x ~ ∞ and we give a canonical representation of σ ess (H) in terms of spectra of limits at infinity of translations of H.

Publisher

World Scientific Pub Co Pte Lt

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0129055X06002693

Reference40 articles.

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