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Two-cluster scattering ofN charged particles

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Abstract

We define geometrically two-cluster scattering states by their asymptotic space-time behavior. We show that these subspaces coincide with the ranges of the two-cluster wave operators, or modified wave operators if both clusters are charged. In particular this proves asymptotic completeness and absence of a singular continuous spectrum of the Hamiltonian below the lowest three-body threshold.

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Author notes

  1. Volker Enss

    Present address: Department of Theoretical Physics, University of Bielefeld, D-4800, Bielefeld 1, Federal Republic of Germany

Authors and Affiliations

  1. Institut des Hautes Etudes Scientifiques, F-91440, Bures-sur-Yvette, France

    Volker Enss

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  1. Volker Enss
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Communicated by J. Ginibre

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Enss, V. Two-cluster scattering ofN charged particles. Commun.Math. Phys. 65, 151–165 (1979). https://doi.org/10.1007/BF01225146

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  • DOI: https://doi.org/10.1007/BF01225146

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