Published 1990 | Version v1
Report Metadata-only

Locally smooth operators and the limiting absorption principle for N-body hamiltonians

Creators

  • 1. Paris-7 Univ., 75 (France). Lab. de Physique Mathematique et Geometrie
  • 2. Institutul de Fizica Atomica, Bucharest (Romania). Dept. of Theoretical Physics
  • 3. Institutul de Fizica Atomica, Bucharest (Romania). Center of Spatial Sciences and Gravitation

Description

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 Hoermander from the two-body to the N-body case. (orig.)

Availability note (English)

Available from Bielefeld Univ. (Germany, F.R.). Forschungszentrum Bielefeld-Bochum-Stochastik (BiBoS).

Additional details

Publishing Information

Imprint Pagination
101 p.
Report number
BiBoS--433/90

INIS

Country of Publication
Germany
Country of Input or Organization
Germany
INIS RN
22038935
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Resource subtype / Literary indicator
Non-conventional Literature
Descriptors DEI
HAMILTONIANS; HERMITIAN OPERATORS; HILBERT SPACE; LOCALITY; MANY-BODY PROBLEM; QUANTUM MECHANICS; TOPOLOGICAL MAPPING
Descriptors DEC
BANACH SPACE; MATHEMATICAL OPERATORS; MATHEMATICAL SPACE; MECHANICS; QUANTUM OPERATORS; SPACE; TRANSFORMATIONS