Inverse scattering on the line with a transfer condition
Spectral Theory
2017-07-05 v1 Classical Analysis and ODEs
Abstract
The inverse scattering problem for Sturm-Liouville operators on the line with a matrix transfer condition at the origin is considered. We show that the transfer matrix can be reconstructed from the eigenvalues and reflection coefficient. In addition, for potentials with compact essential support, we show that the potential can be uniquely reconstructed.
Cite
@article{arxiv.1707.01008,
title = {Inverse scattering on the line with a transfer condition},
author = {Sonja Currie and Marlena Nowaczyk and Bruce Alastair Watson},
journal= {arXiv preprint arXiv:1707.01008},
year = {2017}
}