Generalizes Darboux transformations: classification of inverse scattering methods for the radial Schrodinger equation

DOI10.1088/0305-4470/27/7/035zbMath0837.34090OpenAlexW2001318573MaRDI QIDQ4862005

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Publication date: 20 May 1996

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

Full work available at URL: https://doi.org/10.1088/0305-4470/27/7/035

zbMATH Keywords

Sturm-Liouville equation Darboux transformations inverse scattering radial Schrödinger equation quantum scattering theory Marchenko-type integral equations matrix method of Newton-Sabatier are exhibited

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Sturm-Liouville theory (34B24) Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Inverse scattering problems in quantum theory (81U40)

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