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On the break-down of completeness of wave operators in potential scattering

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Abstract

We study the Schrödinger operator with a potential that vanishes at infinity but the rate of falloff of the potential depends on the direction. It turns out that for such potentials scattering theory becomes in general multichannel.

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Author notes

  1. D. R. Yafaev

    Present address: Leningrad Department of Mathematical Institute, USSR Academy of Science, 27, r. Fontanka, 191011, Leningrad, USSR

Authors and Affiliations

  1. St. Banach International Mathematical Center, Warsaw, Poland

    D. R. Yafaev

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  1. D. R. Yafaev
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Communicated by J. Ginibre

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Yafaev, D.R. On the break-down of completeness of wave operators in potential scattering. Commun.Math. Phys. 65, 167–179 (1979). https://doi.org/10.1007/BF01225147

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  • DOI: https://doi.org/10.1007/BF01225147

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