%0 Journal Article
%T Inverse Scattering Theory for One-Dimensional Schroedinger Operators with Steplike Periodic Potentials
%A Anne Boutet de Monvel
%A Iryna Egorova
%A Gerald Teschl
%J Mathematics
%D 2007
%I arXiv
%R 10.1007/s11854-008-0050-4
%X 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.
%U http://arxiv.org/abs/0707.4632v2