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. I. Main theorem”, Zh. Mat. Fiz. Anal. Geom., 2007, Volume 3, Number 1,Pages <nobr>47

This article is cited in 4 papers

Inverse scattering problem on the axis for the Schrödinger operator with triangular $2\times 2$ matrix potential. I. Main theorem

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 necessary and sufficient conditions for solvability of ISP under consideration are obtained.

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

MSC: 47A40, 81U40

Received: 14.02.2006

Language: English