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Radiation conditions and scattering theory forN-particle Hamiltonians

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Abstract

The correct form of the angular part of radiation conditions is found in scattering problem forN-particle quantum systems. The estimates obtained allow us to give an elementary proof of asymptotic completeness for such systems in the framework of the theory of smooth perturbations.

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Author notes

  1. D. Yafaev

    Present address: IRMAR, Université de Rennes 1, F-35042, Rennes, France

Authors and Affiliations

  1. Université de Nantes, Nantes, France

    D. Yafaev

  2. Math. Inst., St. Petersburg, Russia

    D. Yafaev

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  1. D. Yafaev
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Communicated by B. Simon

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Yafaev, D. Radiation conditions and scattering theory forN-particle Hamiltonians. Commun.Math. Phys. 154, 523–554 (1993). https://doi.org/10.1007/BF02102107

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  • DOI: https://doi.org/10.1007/BF02102107

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