Published 12 issues per year
ISSN Print: 0040-2508
ISSN Online: 1943-6009
Indexed in
Phase-Equivalent Matrix Potentials
ABSTRACT
The scattering problem is considered for the system of radial Schrodinger equations. For matrix potentials having the first moments, two different extensions of the concept of phase equivalence are introduced and studied along with admissible perturbations of normalization matrices for the Hermi-tian and non-Hermitian problems. For the introduced classes of non-Hermitian problems, characteristic properties of scattering data are established, which, in the Hermitian case, pass into the Marchenko-Agranovich conditions.
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Kholkin Aleksandr, Spectral Properties of a Non-Self-Adjoint Differential Operator with Block-Triangular Operator Coefficients, in Recent Developments in the Solution of Nonlinear Differential Equations, 2021. Crossref