A uniqueness result for one-dimensional inverse scattering

DOI10.1002/mana.201100101zbMath1255.34089OpenAlexW2131229148MaRDI QIDQ2892945

Rudi Weikard, Christer Bennewitz, B. Malcolm Brown

Publication date: 25 June 2012

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.201100101

zbMATH Keywords

\(m\)-functionone dimensional inverse scatteringleft and right definite problems

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Inverse scattering problems in quantum theory (81U40) Scattering theory, inverse scattering involving ordinary differential operators (34L25)

Related Items (1)

Compactness of iso-resonant potentials for Schrödinger operators in dimensions one and three

Cites Work

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• Inverse Spectral and Scattering Theory for the Half-Line Left-Definite Sturm–Liouville Problem
• Inverse scattering on the line
• Reconstruction of a Potential on the Line That is a Priori Known on the Half Line
• Spectral Asymptotics for Sturm-Liouville Equations
• Calculation of a Perturbing Central Field of Force from the Elastic Scattering Phase Shift

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