Necessary and Sufficient Conditions in Inverse Scattering Problem on the Axis for the Triangular 2 ´ 2 Matrix Potential
Ключові слова:
scattering on the axis, inverse problem, triangular matrix potential.Анотація
The characteristic properties of the scattering data for the Schrödinger 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.Mathematics Subject Classification: 47A40, 81U40.
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Zubkova, E.; Rofe-Beketov, F. Necessary and Sufficient Conditions in Inverse Scattering Problem on the Axis for the Triangular 2 ´ 2 Matrix Potential. Журн. мат. фіз. анал. геом. 2009, 5, 296-309.
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