E. I. Zubkova, F. S. Rofe-Beketov, “Inverse scattering problem on the axis for the Schrödinger operator with triangular $2\times 2$ matrix potential. II. Addition of the discrete spectrum”, Zh. Mat. Fiz. Anal. Geom., 3:2 (2007), 176

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 2, Pages 176–195 (Mi jmag57)

This article is cited in 3 scientific papers (total in 3 papers)

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^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 (349 kB) Citations (3)

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Abstract: The theorem of the necessary and sufficient conditions for the solvability of ISP under consideration is proved. The method of addition of the discrete spectrum to the considered matrix not self-adjoint case is developed.

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

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. II. Addition of the discrete spectrum”, Zh. Mat. Fiz. Anal. Geom., 3:2 (2007), 176–195

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. II.~Addition of the discrete spectrum

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

\yr 2007

\vol 3

\issue 2

\pages 176--195

\mathnet{http://mi.mathnet.ru/jmag57}

\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2338186}

\zmath{https://zbmath.org/?q=an:1178.34016}

Linking options:

https://www.mathnet.ru/eng/jmag57

https://www.mathnet.ru/eng/jmag/v3/i2/p176

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 3 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:	192
Full-text PDF :	66
References:	42

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