Inverse Scattering Theory for One-dimensional Schrödinger Operators with Steplike Periodic Potentials
نویسنده
چکیده
We develop direct and inverse scattering theory for one-dimensional Schrödinger 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.
منابع مشابه
Inverse Scattering Theory for One-dimensional Schrödinger Operators with Steplike Finite-gap Potentials
We develop direct and inverse scattering theory for one-dimensional Schrödinger operators with steplike potentials which are asymptotically close to different finite-gap 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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