Inverse Scattering Problem on the Axis for the Schrödinger Operator with Triangular 2 x 2 Matrix Potential. II. Addition of the Discrete Spectrum

• Published in: Журнал математической физики, анализа, геометрии
• Date: 2007
• ISSN: 1812-9471
• Main Authors: Zubkova, E.I., Rofe-Beketov, F.S.
• Format: Article
• Language: English
• Published: Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України 2007
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/106444
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Inverse Scattering Problem on the Axis for the Schrödinger Operator with Triangular 2 x 2 Matrix Potential. II. Addition of the Discrete Spectrum / E.I. Zubkova, F.S. Rofe-Beketov // Журнал математической физики, анализа, геометрии. — 2007. — Т. 3, № 2. — С. 176-195. — Бібліогр.: 15 назв. — англ.

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.