Agmon-Kato-Kuroda theorems for a large class of perturbations

Preprint

18 September 2004

preprint
Published by arXiv in arXiv

Abstract

We extend the classical Agmon theorem on asymptotic completeness of two body Schroedinger operators to cover a larger class of perturbations. This is accomplished by means of a suitable limiting absorption principle. The proof of the latter relies on methods from harmonic analysis centered around the Stein-Tomas and Bochner-Riesz theorems.

Keywords

KURODA THEOREMS
PERTURBATIONS
LARGE CLASS
KATO KURODA
AGMON KATO
ABSORPTION
THEOREMS

All Related Versions

Version 1, 2004-09-18, ArXiv
Version 2, 2006-01-05, ArXiv

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