Zhurnal Matematicheskoi Fiziki, Analiza, Geometrii [Journal of Mathematical Physics, Analysis, Geometry]
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Zhurnal Matematicheskoi Fiziki, Analiza, Geometrii [Journal of Mathematical Physics, Analysis, Geometry], 2009, Volume 5, Number 3, Pages 296–309 (Mi jmag129)  
This article is cited in 1 scientific paper (total in 1 paper)

Necessary and sufficient conditions in inverse scattering problem on the axis for the triangular $2\times 2$ matrix potential

E. I. Zubkovaa, F. S. Rofe-Beketovb

a Ukrainian State Academy of Railway Transport, 7 Feyerbakh Sq., Kharkiv, 61050, Ukraine
b Mathematical Division, B. Verkin Institute for Low Temperature Physics and Engineering, National Academy of Sciences of Ukraine, 47 Lenin Ave., Kharkiv 61103, Ukraine
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Abstract: The characteristic properties of the scattering data for the Schrödinger operator on the axis with a triangular $2\times 2$ matrix potential are obtained. A difference between the necessary and sufficient conditions for solvability of ISP under consideration, contained in the previous works of the authors, is eliminated.
Key words and phrases: scattering on the axis, inverse problem, triangular matrix potential.
Received: 01.10.2008
Bibliographic databases:
Document Type: Article
MSC: 47A40, 81U40
Language: English
Citation: E. I. Zubkova, F. S. Rofe-Beketov, “Necessary and sufficient conditions in inverse scattering problem on the axis for the triangular $2\times 2$ matrix potential”, Zh. Mat. Fiz. Anal. Geom., 5:3 (2009), 296–309
Citation in format AMSBIB
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\by E.~I.~Zubkova, F.~S.~Rofe-Beketov
\paper Necessary and sufficient conditions in inverse scattering problem on the axis for the triangular $2\times 2$ matrix potential
\jour Zh. Mat. Fiz. Anal. Geom.
\yr 2009
\vol 5
\issue 3
\pages 296--309
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2554673}
\zmath{https://zbmath.org/?q=an:1194.47015}
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    • This publication is cited in the following 1 articles:
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