Scattering Theory for Jacobi Operators with General Steplike Quasi-Periodic Background
Spectral Theory
2008-07-19 v1 Mathematical Physics
math.MP
Abstract
We develop direct and inverse scattering theory for Jacobi operators with steplike coefficients which are asymptotically close to different finite-gap quasi-periodic coefficients on different sides. We give a complete characterization of the scattering data, which allow unique solvability of the inverse scattering problem in the class of perturbations with finite first moment.
Keywords
Cite
@article{arxiv.0709.2507,
title = {Scattering Theory for Jacobi Operators with General Steplike Quasi-Periodic Background},
author = {Iryna Egorova and Johanna Michor and Gerald Teschl},
journal= {arXiv preprint arXiv:0709.2507},
year = {2008}
}
Comments
23 pages