Published December 1991
| Version v1
Journal article
Collisions for the quantum Coulomb hamiltonian
Creators
- 1. Ecole Polytechnique, 91 - Palaiseau (France). Centre de Mathematiques
- 2. Technische Univ. Berlin (Germany). Fachbereich 3 - Mathematik
Description
We study the propagation of phase space singularities for the time dependent Schroedinger equation with potential having Coulomb-type singularities in space dimension equal to three. We prove that the singularities (frequency set) of the solution are reflected by a Coulomb center exactly as in the classical problem, i.e. the frequency set follows the regularized trajectories of Classical Mechanics after a collision. (orig.)
Additional details
Publishing Information
- Journal Title
- Communications in Mathematical Physics
- Journal Volume
- 143
- Journal Issue
- 1
- Series
- Commun. Math. Phys.
- Journal Page Range
- 17-26
- ISSN
- 0010-3616
- CODEN
- CMPHA
INIS
- Country of Publication
- Germany
- Country of Input or Organization
- Germany
- INIS RN
- 23005873
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- CLASSICAL MECHANICS; COULOMB SCATTERING; HAMILTONIANS; PHASE SPACE; POTENTIAL SCATTERING; QUANTUM MECHANICS; SCHROEDINGER EQUATION; SEMICLASSICAL APPROXIMATION; SINGULARITY; THREE-DIMENSIONAL CALCULATIONS; TIME DEPENDENCE; TRAJECTORIES
- Descriptors DEC
- BASIC INTERACTIONS; DIFFERENTIAL EQUATIONS; ELASTIC SCATTERING; ELECTROMAGNETIC INTERACTIONS; EQUATIONS; INTERACTIONS; MATHEMATICAL OPERATORS; MATHEMATICAL SPACE; MECHANICS; PARTIAL DIFFERENTIAL EQUATIONS; QUANTUM OPERATORS; SCATTERING; SPACE; WAVE EQUATIONS