Abstract
The immersing method is used to solve the two-channel scattering problem in the case of concrete potential. In particular, we consider the particle scattering by a two-dimensional barrier which is constant in the scattering direction and is arbitrary in the transverse direction. For this case the scattering amplitudes t 1, t 2, r 1, and r 2 are determined. Expressions for the transmission and reflection amplitudes are obtained for the case of δ-potential. The behavior of the scattering amplitudes in the limit k 2 → 0 is studied. It is also shown that the ratio of products of transmission and reflection amplitudes for two channels does not depend on the coordinate of the middle of coordinate.
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Original Russian Text © D.M. Sedrakian, E.M. Kazaryan, L.R. Sedrakian, 2010, published in Izvestiya NAN Armenii, Fizika, 2010, Vol. 45, No. 3, pp. 173–182.
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Sedrakian, D.M., Kazaryan, E.M. & Sedrakian, L.R. Amplitudes of two-channel scattering by a two-dimensional potential barrier with a constant height. J. Contemp. Phys. 45, 111–117 (2010). https://doi.org/10.3103/S1068337210030035
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DOI: https://doi.org/10.3103/S1068337210030035