On Open Scattering Channels for a Branched Covering of the Euclidean Plane

Rainer Hempel; Olaf Post

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arXiv · 1712.09147

On Open Scattering Channels for a Branched Covering of the Euclidean Plane

Rainer Hempel·Olaf Post

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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 arXiv:1202.0333 and that this property is stable under suitable perturbations of the metric.

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BibTeX RIS

Rainer Hempel, Olaf Post. 2017-12-26. On Open Scattering Channels for a Branched Covering of the Euclidean Plane. https://arxiv.org/abs/1712.09147

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