Inverse scattering for impedance Schrödinger operators. I: Step-like impedance lattice

DOI10.1016/j.jmaa.2017.07.068zbMath1382.34094OpenAlexW2743877454MaRDI QIDQ1674371

Sergio A. Albeverio, Rostyslav O. Hryniv, Yaroslav Volodymyrovych Mykytyuk

Publication date: 2 November 2017

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2017.07.068

zbMATH Keywords

inverse scattering problemone dimensional Schrödinger operatorpiece-wise constant impedance

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Inverse scattering problems in quantum theory (81U40) Scattering theory, inverse scattering involving ordinary differential operators (34L25)

Related Items

Scattering for general-type Dirac systems on the semi-axis: reflection coefficients and Weyl functions ⋮ Reconstruction of the impedance Schrödinger equation from the modulus of the reflection coefficients

Cites Work

• Sturm-Liouville operators and applications. Transl. from the Russian by A. Iacob
• Inverse problems in scattering. An introduction
• Inverse scattering for discontinuous impedance Schrödinger operators: a model example
• Inverse Scattering for Schrödinger Operators with Miura Potentials, II. Different Riccati Representatives
• Inverse scattering for Schrödinger operators with Miura potentials: I. Unique Riccati representatives and ZS-AKNS systems
• Inverse scattering problem for an elastic layered medium
• Inverse scattering method in electromagnetic sounding theory
• Recovery of discontinuities in a non-homogeneous medium
• Continuous and Discrete Inverse-Scattering Problems in a Stratified Elastic Medium. I. Plane Waves at Normal Incidence
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