Inverse 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 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 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.

Ключові слова:

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

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Як цитувати

(1)
Zubkova, E. I.; Rofe-Beketov, F. S. Inverse 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.

Номер

Том 3 № 2 (2007)

Розділ

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