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Telecommunications and Radio Engineering
SJR: 0.203 SNIP: 0.44 CiteScore™: 1

ISSN Print: 0040-2508
ISSN Online: 1943-6009

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Telecommunications and Radio Engineering

DOI: 10.1615/TelecomRadEng.v56.i8-9.20
26 pages

Phase-Equivalent Matrix Potentials

Elena Ivanovna Bondarenko
Postgraduate student of the Mathematical Physics Department of the B.I. Verldn FTINT Institute of the National Academy of Sciences of Ukraine
Fedor Semenovich Rofe-Beketov
Doctor of Sciences (Phys.-Malh.), Professor, Leading Researcher of the Mathematical Physics Department of the B.I. Verkin FTINT Institute of the National Academy of Sciences of Ukraine.

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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