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


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Article Info

DATE

2014-09

AUTHORS

D. M. Sedrakian, L. R. Sedrakian

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 tm and rm (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 tm and reflection amplitudes rm 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 kl corresponding to the channel l. More... »

PAGES

209-217

References to SciGraph publications

  • 2009-12. Immersing method for the multichannel scattering problem in JOURNAL OF CONTEMPORARY PHYSICS (ARMENIAN ACADEMY OF SCIENCES)
  • 2009-06. Connection between the immersing and transfer-matrix methods in one-dimensional scattering problems in JOURNAL OF CONTEMPORARY PHYSICS (ARMENIAN ACADEMY OF SCIENCES)
  • 2011-06. Amplitudes of multichannel scattering on a two-dimensional potential barrier with constant height in JOURNAL OF CONTEMPORARY PHYSICS (ARMENIAN ACADEMY OF SCIENCES)
  • 2010-06. Amplitudes of two-channel scattering by a two-dimensional potential barrier with a constant height in JOURNAL OF CONTEMPORARY PHYSICS (ARMENIAN ACADEMY OF SCIENCES)
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    http://scigraph.springernature.com/pub.10.3103/s1068337214050041

    DOI

    http://dx.doi.org/10.3103/s1068337214050041

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