Scattering Theory for Jacobi Operators with Quasi-Periodic Background
Spectral Theory
2007-05-23 v1
Abstract
We develop direct and inverse scattering theory for Jacobi operators which are short range perturbations of quasi-periodic finite-gap operators. We show existence of transformation operators, investigate their properties, derive the corresponding Gel'fand-Levitan-Marchenko equation, and find minimal scattering data which determine the perturbed operator uniquely.
Cite
@article{arxiv.math/0506119,
title = {Scattering Theory for Jacobi Operators with Quasi-Periodic Background},
author = {Iryna Egorova and Johanna Michor and Gerald Teschl},
journal= {arXiv preprint arXiv:math/0506119},
year = {2007}
}
Comments
29 pages