Geodesic
On the scattering by a matrix potential with a symplectic structure
Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 26, Tome 239 (1997), pp. 133-139

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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 $x\to\pm\infty$. 
@article{ZNSL_1997_239_a12,
     author = {V. M. Markushevich},
     title = {On the scattering by a matrix potential with a symplectic structure},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {133--139},
     publisher = {mathdoc},
     volume = {239},
     year = {1997},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1997_239_a12/}
}
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V. M. Markushevich. On the scattering by a matrix potential with a symplectic structure. Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 26, Tome 239 (1997), pp. 133-139. http://geodesic.mathdoc.fr/item/ZNSL_1997_239_a12/