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arXiv · 0707.4632

Inverse Scattering Theory for One-Dimensional Schroedinger Operators with Steplike Periodic Potentials

Anne Boutet de Monvel·Iryna Egorova·Gerald Teschl
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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.

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Anne Boutet de Monvel, Iryna Egorova, Gerald Teschl. 2008-11-20. Inverse Scattering Theory for One-Dimensional Schroedinger Operators with Steplike Periodic Potentials. https://doi.org/10.1007/s11854-008-0050-4

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