LOCALLY SMOOTH OPERATORS AND THE LIMITING ABSORPTION PRINCIPLE FOR N-BODY HAMILTONIANS-Reference-Cited by-同舟云学术

LOCALLY SMOOTH OPERATORS AND THE LIMITING ABSORPTION PRINCIPLE FOR N-BODY HAMILTONIANS

Published:1993-03 Issue:01 Volume:05 Page:105-189
ISSN:0129-055X
Container-title:Reviews in Mathematical Physics
language:en
Short-container-title:Rev. Math. Phys.

Author:

DE MONVEL-BERTHIER ANNE BOUTET¹,GEORGESCU VLADIMIR²,MANTOIU MARIUS³

Affiliation:

1. Université Paris VII, Laboratoire de Physique Mathématique et Géométrie, 2, place Jussieu, 75251, Paris Cedex 05, France

2. C.N.R.S., EP0004, Laboratoire de Physique Mathématique et Géométric, Université Paris VII, 2 place Jussieu, 75251 Paris Cedex 05, France

3. Center of Spatial Sciences and Gravitation, Institute of Atomic Physics, Bucharest, Romania

Abstract

We develop a variant of the (abstract) Mourre theory under very weak assumptions of regularity on the hamiltonian H with respect to the conjugate operator A. We find large classes of H-smooth operators and prove the limiting absorption principle in a class of (abstract) Besov spaces. As an example we extend the results of Agmon and Hörmander from the two-body to the N-body case.

Publisher

World Scientific Pub Co Pte Lt

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0129055X93000048

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