nverse Scattering Problem on the Axis for the Schrödinger Operator with Triangular 2 x 2 Matrix Potential. II. Addition of the Discrete Spectrum

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 & Engineering National Academy of Sciences of Ukraine 47 Lenin Ave., Kharkiv, 61103, Ukraine

Ключові слова:

scattering on the axis, inverse problem, triangular matrix potential, discrete spectrum.

Анотація

The theorem of the necessary and sufficient conditions for the solvability of ISP under consideration is proved. The method of addition of the discrete spectrum to the considered matrix not self-adjoint case is developed.

Mathematics Subject Classification: 47A40, 81U40.

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Zubkova, E.; Rofe-Beketov, F. nverse Scattering Problem on the Axis for the Schrödinger Operator with Triangular 2 x 2 Matrix Potential. II. Addition of the Discrete Spectrum. Журн. мат. фіз. анал. геом. 2007, 3, 176-195.

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