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

Автор(и)

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

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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Як цитувати

(1)
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.

Номер

Том 5 № 3 (2009)

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