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Some differential equations for problems of wave scattering in a one-dimensional medium

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Abstract

A system of linear differential equations determining the amplitude of reflection R and the amplitude of transmission T for a plane wave (or an electron) and for an arbitrary medium (or a one-dimensional potential of an arbitrary type) is obtained. It is shown that the problem of determining the scattering parameters R and T reduces, in general, to a Cauchy problem for a stationary wave equation (or for the Schrödinger equation).

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Authors and Affiliations

  1. Yerevan State University, Armenia

    D. M. Sedrakian & A. Zh. Khachatrian

  2. State Engineering University of Armenia, Armenia

    D. M. Sedrakian & A. Zh. Khachatrian

Authors
  1. D. M. Sedrakian
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  2. A. Zh. Khachatrian
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Additional information

Translated from Astrofizika, Vol. 42, No. 3, pp. 419–426, July–September, 1999.

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Sedrakian, D.M., Khachatrian, A.Z. Some differential equations for problems of wave scattering in a one-dimensional medium. Astrophysics 42, 316–321 (1999). https://doi.org/10.1007/BF02700762

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  • DOI: https://doi.org/10.1007/BF02700762

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