Scattering theory with finite-gap backgrounds: Transformation operators and characteristic properties of scattering data
Spectral Theory
2013-06-11 v2 Mathematical Physics
math.MP
Abstract
We develop direct and inverse scattering theory for Jacobi operators (doubly infinite second order difference operators) with steplike coefficients which are asymptotically close to different finite-gap quasi-periodic coefficients on different sides. We give necessary and sufficient conditions for the scattering data in the case of perturbations with finite second (or higher) moment.
Keywords
Cite
@article{arxiv.1201.5768,
title = {Scattering theory with finite-gap backgrounds: Transformation operators and characteristic properties of scattering data},
author = {Iryna Egorova and Johanna Michor and Gerald Teschl},
journal= {arXiv preprint arXiv:1201.5768},
year = {2013}
}
Comments
23 pages