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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)
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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. 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 & Engineering, National Academy of Sciences of Ukraine, 47 Lenin Ave., Kharkiv, 61103, Ukraine
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
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
Linking options:
https://www.mathnet.ru/eng/jmag57 https://www.mathnet.ru/eng/jmag/v3/i2/p176
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Abstract page: | 196 | Full-text PDF : | 70 | References: | 43 |
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