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On the three-body long-range scattering problems

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Abstract

In this Letter, we give results on precise microlocalized time-decay estimates in three-body long-range scattering problems. We prove the asymptotic completeness of wave operators in three-body long-range scattering for a class of long-range interactions of the form V 1(x)+V 2(x), where V 1 is nonnegative and decays like O(|x|−ε0), for some ε0 > 1/2 and V 2 decays like O(|x|-y) for some γ > 2(1−ε0)/ε0.

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Authors and Affiliations

  1. Department de Mathématiques, Université de Nantes, 44072, Nantes Cedex 03, France

    Xue Ping Wang

  2. Department of Mathematics, Peking University, 100871, Beijing, China

    Xue Ping Wang

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  1. Xue Ping Wang
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Wang, X.P. On the three-body long-range scattering problems. Letters in Mathematical Physics 25, 267–276 (1992). https://doi.org/10.1007/BF00398399

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  • DOI: https://doi.org/10.1007/BF00398399

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