Quantum scattering theory for two- and three-body systems with potentials of short and long range

  • Volker Enss
Conference paper

DOI: 10.1007/BFb0080332

Part of the Lecture Notes in Mathematics book series (LNM, volume 1159)
Cite this paper as:
Enss V. (1985) Quantum scattering theory for two- and three-body systems with potentials of short and long range. In: Graffi S. (eds) Schrödinger Operators. Lecture Notes in Mathematics, vol 1159. Springer, Berlin, Heidelberg

Abstract

We give a full proof of asymptotic completeness for Schrödinger operators of two- and three-particle quantum systems. The interaction is given by pair potentials which may be of short and of long range, including Coulomb forces. We apply geometrical time-dependent methods where propagation of scattering states in phase space and in configuration space is essential. The main new results are the inclusion of long-range potentials of the two-body estimates in Section VI and for three-particle systems. But also where we recover known results some of our methods are new. Where possible we have chosen the methods which admit generalization to higher particle numbers.

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Copyright information

© Springer-Verlag Berlin Heidelberg 1985

Authors and Affiliations

  • Volker Enss
    • 1
  1. 1.Division of Physics, Mathematics and AstronomyCalifornia Institute of TechnologyPasadenaUSA
  2. 2.Institut für Mathematik IFreie UniversitätBerlin 33West Germany

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