E. I. Zubkova, F. S. Rofe-Beketov, “Inverse scattering problem on the axis for the Schrödinger operator with triangular <nobr>$2\times 2$</nobr> matrix potential. II. Addition of the discrete spectrum”, Zh. Mat. Fiz. Anal. Geom., 2007, Volume 3, Number 2,Pages <nobr>176

This article is cited in 3 papers

Inverse scattering problem on the axis for the Schrödinger operator with triangular $2\times 2$ matrix potential. II. Addition of the discrete spectrum

E. I. Zubkova^a, F. S. Rofe-Beketov^b

^a Ukrainian State Academy of Railway Transport, 7 Feyerbakh Sq., Kharkiv, 61050, Ukraine
^b Mathematical Division, B. Verkin Institute for Low Temperature Physics & Engineering, National Academy of Sciences of Ukraine, 47 Lenin Ave., Kharkiv, 61103, Ukraine

Abstract: 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.

Key words and phrases: scattering on the axis, inverse problem, triangular matrix potential, discrete spectrum.

MSC: 47A40, 81U40

Received: 14.02.2006

Language: English