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Necessary and Sufficient Conditions in Inverse Scattering Problem on the Axis for the Triangular 2 x 2 Matrix Potential
Репозиторій DSpace/Manakin
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Necessary and Sufficient Conditions in Inverse Scattering Problem on the Axis for the Triangular 2 x 2 Matrix Potential
Посилання:
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.
Підтримка:
The authors are deeply grateful to D.G. Shepel’sky who attracted their attention to the question about possibility to omit condition H in the main theorem of [4, 5].
Дата:
2009
Переглядів:
664
Завантажень:
275
Анотація:
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, is eliminated.
