E. I. Zubkova, F. S. Rofe-Beketov, “Inverse scattering problem on the axis for the Schrödinger operator with triangular $2\times 2$ matrix potential. I. Main theorem”, Zh. Mat. Fiz. Anal. Geom., 3:1 (2007), 47

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], 2007, Volume 3, Number 1, Pages 47–60 (Mi jmag51)

This article is cited in 4 scientific papers (total in 4 papers)

Inverse scattering problem on the axis for the Schrödinger operator with triangular $2\times 2$ matrix potential. I. Main theorem

E. I. Zubkova^a, F. S. Rofe-Beketov^b

^a Ukrainian State Academy of Railway Transport, 7 Feyerbakh Sq., Kharkiv, 61050, Ukraine
^b Mathematical Division, B. Verkin Institute for Low Temperature Physics & Engineering, National Academy of Sciences of Ukraine, 47 Lenin Ave., Kharkiv, 61103, Ukraine

Full-text PDF (319 kB) Citations (4)

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Abstract: The necessary and sufficient conditions for solvability of ISP under consideration are obtained.

Key words and phrases: scattering on the axis, inverse problem, triangular matrix potential.

Received: 14.02.2006

Bibliographic databases:

Document Type: Article

MSC: 47A40, 81U40

Language: English

Citation: E. I. Zubkova, F. S. Rofe-Beketov, “Inverse scattering problem on the axis for the Schrödinger operator with triangular $2\times 2$ matrix potential. I. Main theorem”, Zh. Mat. Fiz. Anal. Geom., 3:1 (2007), 47–60

Citation in format AMSBIB

\Bibitem{ZubRof07}

\by E.~I.~Zubkova, F.~S.~Rofe-Beketov

\paper Inverse scattering problem on the axis for the Schr\"odinger operator with triangular $2\times 2$ matrix potential. I.~Main theorem

\jour Zh. Mat. Fiz. Anal. Geom.

\yr 2007

\vol 3

\issue 1

\pages 47--60

\mathnet{http://mi.mathnet.ru/jmag51}

\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2304086}

\zmath{https://zbmath.org/?q=an:1136.34011}

\elib{https://elibrary.ru/item.asp?id=12891197}

Linking options:

https://www.mathnet.ru/eng/jmag51

https://www.mathnet.ru/eng/jmag/v3/i1/p47

Cycle of papers

Inverse scattering problem on the axis for the Schrödinger operator with triangular $2\times 2$ matrix potential. I. Main theorem
E. I. Zubkova, F. S. Rofe-Beketov
Zh. Mat. Fiz. Anal. Geom., 2007, 3:1, 47–60
Inverse scattering problem on the axis for the Schrödinger operator with triangular $2\times 2$ matrix potential. II. Addition of the discrete spectrum
E. I. Zubkova, F. S. Rofe-Beketov
Zh. Mat. Fiz. Anal. Geom., 2007, 3:2, 176–195

This publication is cited in the following 4 articles:

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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Abstract page:	214
Full-text PDF :	74
References:	40

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