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Amplitudes of multichannel scattering on a two-dimensional potential barrier with constant height

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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 for concrete potential. In particular, we consider the particle scattering on a two-dimensional potential barrier, which is constant in the scattering direction and arbitrary in the cross-section direction. For this case the scattering amplitudes t m and r m (1,2, m= ...,N) are determined. A transition from the obtained formulas to the case of ™-potential is performed. For this case transmission amplitudes t m and reflection amplitudes r m are obtained. It is also shown that the product of transmission and reflection amplitudes along the channel m does not depend on the scattering channel.

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References

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Authors and Affiliations

  1. Yerevan State University, Yerevan, Armenia

    D. M. Sedrakian & A. V. Margaryan

  2. Russian-Armenian (Slavonic) University, Yerevan, Armenia

    L. R. Sedrakian

Authors
  1. D. M. Sedrakian
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  2. L. R. Sedrakian
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  3. A. V. Margaryan
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Additional information

Original Russian Text © D.M. Sedrakian, L.R. Sedrakian, A.V. Margaryan, 2011, published in Izvestiya NAN Armenii, Fizika, 2011, vol. 46, No. 3, pp. 147–154.

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Sedrakian, D.M., Sedrakian, L.R. & Margaryan, A.V. Amplitudes of multichannel scattering on a two-dimensional potential barrier with constant height. J. Contemp. Phys. 46, 93–98 (2011). https://doi.org/10.3103/S1068337211030017

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  • DOI: https://doi.org/10.3103/S1068337211030017

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