Exceptional points in Faddeev scattering problem
Mathematical Physics
2020-03-09 v4 math.MP
Spectral Theory
Abstract
Exceptional points are values of the spectral parameter for which the homogeneous Faddeev scattering problem has a non-trivial solution. We study the existence/absence of exceptional points for small perturbations of conductive potentials of arbitrary shape and show that problems with absorbing potentials do not have exceptional points in a neighborhood of the origin. A criterion for existence of exceptional points is given.
Cite
@article{arxiv.1407.1548,
title = {Exceptional points in Faddeev scattering problem},
author = {Evgeny Lakshtanov and Boris Vainberg},
journal= {arXiv preprint arXiv:1407.1548},
year = {2020}
}
Comments
Minor corrections are made