Abstract
The scattering problem for the matrix Schrödinger operator with a non-Hermitian potential is considered. It is shown that there exists a set of unsymmetric potentials for which the Wronskian can be introduced. For a real k, an explicit expression for the Wronskian is derived. For a complex k, the asymptotic value of the Wronskian, as x→± ∞, is determined.
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Additional information
Translated fromZapiski Nauchnykh Seminarov POMI, Vol. 239, 1997, pp. 133–139.
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Markushevich, V.M. On scattering on a matrix potential with symplectic structure. J Math Sci 96, 3366–3370 (1999). https://doi.org/10.1007/BF02172815
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DOI: https://doi.org/10.1007/BF02172815