Published September 1981
| Version v1
Journal article
Propagation of states in dilation analytic
Description
We estimate the space-time behavior of scattering states for two-body Schroedinger operators with smooth, dilation analytic potentials. We use our estimates to give a simple proof of asymptotic completeness for a class of long-range potentials, including the Coulomb potential plus a fairly general short-range perturbation. (orig.)
Additional details
Additional titles
- Subtitle (English)
- Potentials and asymptotic completeness
Publishing Information
- Journal Title
- Commun. Math. Phys.
- Journal Volume
- 81
- Journal Issue
- 2
- Series
- Commun. Math. Phys.
- Journal Page Range
- 243-259
- ISSN
- 0010-3616
INIS
- Country of Publication
- Germany
- Country of Input or Organization
- Germany
- INIS RN
- 13648590
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- ANALYTIC FUNCTIONS; COULOMB FIELD; HAMILTONIANS; INTERACTION RANGE; PERTURBATION THEORY; QUANTUM MECHANICS; SCATTERING; SCHROEDINGER EQUATION; SPACE-TIME; TWO-BODY PROBLEM
- Descriptors DEC
- DIFFERENTIAL EQUATIONS; DISTANCE; ELECTRIC FIELDS; EQUATIONS; FUNCTIONS; MANY-BODY PROBLEM; MATHEMATICAL OPERATORS; MECHANICS; QUANTUM OPERATORS