Inverse scattering for the magnetic Schr\"odinger operator on surfaces with Euclidean ends
Analysis of PDEs
2016-03-09 v1 Mathematical Physics
math.MP
Abstract
We prove a fixed frequency inverse scattering result for the magnetic Schr\"odinger operator (or connection Laplacian) on surfaces with Euclidean ends. We show that, under suitable decaying conditions, the scattering matrix for the operator determines both the gauge class of the connection and the zeroth order potential.
Keywords
Cite
@article{arxiv.1603.02402,
title = {Inverse scattering for the magnetic Schr\"odinger operator on surfaces with Euclidean ends},
author = {Valter Pohjola and Leo Tzou},
journal= {arXiv preprint arXiv:1603.02402},
year = {2016}
}
Comments
arXiv admin note: text overlap with arXiv:1004.0315