Two-dimensional inverse scattering: Compactness of the generalized Marchenko operator

DOI10.1063/1.526562zbMath0573.35080OpenAlexW2018041887MaRDI QIDQ3692176

Margaret Cheney

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1063/1.526562

zbMATH Keywords

Schrödinger equationFredholm theoryinverse scattering problemHilbert-Schmidt typegeneralized Marchenko integral equation

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) (2)-body potential quantum scattering theory (81U05) Partial differential equations of mathematical physics and other areas of application (35Q99) Fredholm integral equations (45B05) Riemann-Hilbert problems in context of PDEs (35Q15) Scattering theory of linear operators (47A40)

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Cites Work

• Coupling constant thresholds in nonrelativistic quantum mechanics. I. Short-range two-body case
• Two-dimensional scattering: The number of bound states from scattering data
• Inverse scattering in dimension two