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Time-Dependent Scattering in Coulombic Few-Body Systems and the Strong Operator Approximation Method

  • Helmut Kröger
Chapter
Part of the Finite Systems and Multiparticle Dynamics book series (FSMD)

Abstract

The subject of this chapter is nonrelativistic quantum mechanical scattering in Coulombic few-body systems, using the time-dependent formulation. Our ultimate goal is to find efficient and reliable algorithms for numerical computation of scattering observables, such as phase shifts, cross sections, etc. Historically, the notion of a scattering operator was introduced by Heisenberg(1) and Møller.(2) The so-called Møller wave operator maps asymptotic states onto scattering states. At the time when the Møller wave operator was suggested, there was no mathematical proof of its existence. The first proof was given by Cook,(3) formulated in time-dependent language, for a two-body system interacting via a square integrable potential.

Keywords

Wave Packet Coulomb Potential Asymptotic State Wave Operator Breakup Reaction 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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© Springer Science+Business Media New York 1996

Authors and Affiliations

  • Helmut Kröger
    • 1
  1. 1.Département de PhysiqueUniversité LavalQuébecCanada

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