Necessary and Sufficient Conditions in Inverse Scattering Problem on the Axis for the Triangular 2 x 2 Matrix Potential

• Published in: Журнал математической физики, анализа, геометрии
• Date: 2009
• 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 2009
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/106545
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Necessary and Sufficient Conditions in Inverse Scattering Problem on the Axis for the Triangular 2 x 2 Matrix Potential / E.I. Zubkova, F.S. Rofe-Beketov // Журнал математической физики, анализа, геометрии. — 2009. — Т. 5, № 3. — С. 296-309. — Бібліогр.: 10 назв. — англ.

The characteristic properties of the scattering data for the Schr¨odinger operator on the axis with a triangular 2 × 2 matrix potential are obtained. A difference between the necessary and sufficient conditions for solvability of ISPunder consideration, contained in the previous works of the authors...