Inverse Scattering Theory for One-Dimensional Schroedinger Operators with Steplike Periodic Potentials
Spectral Theory
2008-11-20 v2 Mathematical Physics
math.MP
Abstract
We develop direct and inverse scattering theory for one-dimensional Schroedinger operators with steplike potentials which are asymptotically close to different finite-gap periodic potentials on different half-axes. 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 second moment.
Cite
@article{arxiv.0707.4632,
title = {Inverse Scattering Theory for One-Dimensional Schroedinger Operators with Steplike Periodic Potentials},
author = {Anne Boutet de Monvel and Iryna Egorova and Gerald Teschl},
journal= {arXiv preprint arXiv:0707.4632},
year = {2008}
}
Comments
34 pages