Published October 1989
| Version v1
Journal article
Commutators of Schroedinger Hamiltonians and applications in scattering theory
- 1. Geneva Univ. (Switzerland). Dept. de Physique Theorique
- 2. Paris-7 Univ., 75 (France)
- 3. Institutul Central de Fizica, Bucharest (Romania). Dept. of Fundamental Physics
Description
We give results on the behaviour at infinity of commutators of the form [φ(H), f(Q)], where H is a Schroedinger operator and Q denotes the position operator in L2(Rn). These results are applied to obtain propagation properties and asymptotic completeness below the three-body threshold for N-body systems. (orig.)
Additional details
Publishing Information
- Journal Title
- Letters in Mathematical Physics
- Journal Volume
- 18
- Journal Issue
- 3
- Series
- Lett. Math. Phys.
- Journal Page Range
- 223-228
- ISSN
- 0377-9017
- CODEN
- LMPHD
INIS
- Country of Publication
- Netherlands
- Country of Input or Organization
- Netherlands
- INIS RN
- 21008382
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- COMMUTATION RELATIONS; HAMILTONIANS; HILBERT SPACE; POSITION OPERATORS; QUANTUM MECHANICS; SCATTERING; SCHROEDINGER EQUATION; THREE-BODY PROBLEM
- Descriptors DEC
- BANACH SPACE; DIFFERENTIAL EQUATIONS; EQUATIONS; MANY-BODY PROBLEM; MATHEMATICAL OPERATORS; MATHEMATICAL SPACE; MECHANICS; PARTIAL DIFFERENTIAL EQUATIONS; QUANTUM OPERATORS; SPACE; WAVE EQUATIONS