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Amplitudes of multichannel scattering on the barrier with a constant height in the scattering direction

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Journal of Contemporary Physics (Armenian Academy of Sciences) Aims and scope

Abstract

The immersing method is applied to solve the N-channel scattering problem. In particular, we consider the particle scattering on a multidimensional potential barrier, which is constant in the scattering direction and arbitrary in the lateral direction. For this case the scattering amplitudes t m and r m (m = 1, 2, …, N) are determined. Transition from the obtained formulas to the case of thin potential is performed. For this case analytical expressions of transmission amplitudes t m and reflection amplitudes r m are obtained. We show that the product of transmission and reflection amplitudes in the channel m does not depend on the scattering channel. It is assumed that the scattering particle falls on the potential with the longitudinal wave vector k l corresponding to the channel l.

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Authors and Affiliations

  1. Yerevan State University, Yerevan, Armenia

    D. M. Sedrakian & L. R. Sedrakian

Authors
  1. D. M. Sedrakian
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  2. L. R. Sedrakian
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Correspondence to L. R. Sedrakian.

Additional information

Original Russian Text © D.M. Sedrakian, L.R. Sedrakian, 2014, published in Izvestiya NAN Armenii, Fizika, 2014, Vol. 49, No. 5, pp. 327–338.

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Sedrakian, D.M., Sedrakian, L.R. Amplitudes of multichannel scattering on the barrier with a constant height in the scattering direction. J. Contemp. Phys. 49, 209–217 (2014). https://doi.org/10.3103/S1068337214050041

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  • DOI: https://doi.org/10.3103/S1068337214050041

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