Published December 1991 | Version v1
Journal article

Collisions for the quantum Coulomb hamiltonian

  • 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