Inverse problem for Sturm-Liouville operators with rational reflection coefficient

DOI10.1007/BF01195586zbMath0896.34066OpenAlexW1991047305MaRDI QIDQ1384114

Israel Gohberg, Daniel Alpay

Publication date: 24 September 1998

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01195586

zbMATH Keywords

inverse scatteringmatrix Schrödinger equationrational reflection coefficient

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

Small-energy asymptotics of the scattering matrix for the matrix Schrödinger equation on the line ⋮ Inverse scattering on the line for the matrix Sturm-Liouville equation ⋮ Constructive solution of the inverse spectral problem for the matrix Sturm–Liouville operator

Cites Work

• Minimal factorization of matrix and operator functions
• Sturm-Liouville systems with rational Weyl functions: Explicit formulas and applications
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