Inverse scattering for standing wave solutions of the Schrödinger equation

DOI10.1063/1.527780zbMath0663.35016OpenAlexW2059656251MaRDI QIDQ3812619

Erkki Somersalo

Publication date: 1987

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.527780

zbMATH Keywords

potentialstanding wave solutionsMarchenko equationinverse scattering theorythree-dimensional Schrödinger equationreactance matrixtrace-type formula

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Inverse problems for PDEs (35R30) Schrödinger operator, Schrödinger equation (35J10)

Cites Work

• The principle of limiting absorption for the non-selfadjoint Schrödinger operator in R\(^N\) \((N \neq 2)\)
• A rigorous derivation of the ‘‘miracle’’ identity of three-dimensional inverse scattering
• A Multidimensional Inverse-Scattering Method
• Multidimensional Inverse Scattering for First-Order Systems
• Inverse scattering. II. Three dimensions

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