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N body scattering in the two-cluster region

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Abstract

We extend Combes' result on completeness ofN-body scattering at energies below the lowest 3-body threshold from potentials with |x|−v−ε falloff (ν ≡ number of dimensions for each particle) to central potentials with |x|−1−ε. We also treat the scattering of electrons from neutral atoms in the two cluster region.

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References

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Author notes

  1. Barry Simon

    Present address: Departments of Mathematics and Physics, Princeton University, 08540, Princeton, New Jersey, USA

Authors and Affiliations

  1. Department of Mathematics, Weizmann Institute of Science, Rehovot, Israel

    Barry Simon

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  1. Barry Simon
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Additional information

Communicated by J. Ginibre

Research supported by U.S. N.S.F. Grant MPS-75-11864

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Simon, B. N body scattering in the two-cluster region. Commun.Math. Phys. 58, 205–210 (1978). https://doi.org/10.1007/BF01609420

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  • DOI: https://doi.org/10.1007/BF01609420

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