On Open Scattering Channels for a Branched Covering of the Euclidean Plane
Spectral Theory
2017-12-27 v1 Mathematical Physics
Functional Analysis
math.MP
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.
Keywords
Cite
@article{arxiv.1712.09147,
title = {On Open Scattering Channels for a Branched Covering of the Euclidean Plane},
author = {Rainer Hempel and Olaf Post},
journal= {arXiv preprint arXiv:1712.09147},
year = {2017}
}
Comments
24 pages, 4 figures