On the scattering by a matrix potential with a symplectic structure

In the paper the scattering problem for matrix Shroedinger operator with a non-Hermitian potential is considered. It is shown that there exists a set of nonsymmetric potentials which allows to introduce the Wronskian. For a real $k$ the Wronskian is obtained. For a complex $k$ the asymptotic value of Wronskian is found as $x\to\pm\infty$.