On open scattering channels for a branched covering of the Euclidean plane

  • Rainer Hempel

    TU Braunschweig, Germany
  • Olaf Post

    Universität Trier, Germany
On open scattering channels for a branched covering of the Euclidean plane cover
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Abstract

We study the interaction of two scattering channels for a simple geometric model consisting in a double covering of the plane with two branch points, equipped with the Euclidean metric. We show that the scattering channels are open in the sense of [11] and that this property is stable under suitable perturbations of the metric.

Cite this article

Rainer Hempel, Olaf Post, On open scattering channels for a branched covering of the Euclidean plane. J. Spectr. Theory 11 (2021), no. 1, pp. 193–228

DOI 10.4171/JST/339