Scattering at zero energy for attractive homogeneous potentials

Jan Derezinski, Erik Skibsted

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    Abstract

    We compute up to a compact term the zero-energy scattering matrix for a class of potentials asymptotically behaving as −γ|x|−μ with 0 < μ < 2 and γ > 0. It turns out to be the propagator for the wave equation on the sphere at time $$\frac{\mu\pi}{2-\mu}$$.
    Original languageEnglish
    JournalAnnales Henri Poincare
    Volume10
    Issue3
    Pages (from-to)549-571
    Number of pages23
    ISSN1424-0637
    DOIs
    Publication statusPublished - 2009

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