Scattering from isospectral quantum graphs
Mathematical Physics
2016-01-19 v3 math.MP
Quantum Physics
Abstract
Quantum graphs can be extended to scattering systems when they are connected by leads to infinity. It is shown that for certain extensions, the scattering matrices of isospectral graphs are conjugate to each other and their poles distributions are therefore identical. The scattering matrices are studied using a recently developed isospectral theory. At the same time, the scattering approach offers a new insight on the mentioned isospectral construction.
Cite
@article{arxiv.1007.0222,
title = {Scattering from isospectral quantum graphs},
author = {Ram Band and Adam Sawicki and Uzy Smilansky},
journal= {arXiv preprint arXiv:1007.0222},
year = {2016}
}