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

  • E. I. Zubkova Ukrainian State Academy of Railway Transport, 7 Feyerbakh Sq., Kharkiv, 61050, Ukraine
  • F. S. Rofe-Beketov B. Verkin Institute for Low Temperature Physics and Engineering of the National Academy of Sciences of Ukraine, 47 Lenin Ave., Kharkiv 61103, Ukraine

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 ISP under consideration, contained in the previous works of the authors, is eliminated.

Mathematics Subject Classification: 47A40, 81U40.

Ключові слова:

scattering on the axis, inverse problem, triangular matrix potential

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Як цитувати

(1)
E. I. Zubkova, F. S. Rofe-Beketov, Necessary and Sufficient Conditions in Inverse Scattering Problem on the Axis for the Triangular 2 × 2 Matrix Potential, Журн. мат. фіз. анал. геом. 5 (2009), 296-309.

Номер

Том 5 № 3 (2009)

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