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

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

Jul 1999

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1999ap.....42..316s&link_type=abstract

Astrophysics, Volume 42, Issue 3, pp.316-321

Astronomy and Astrophysics

Astrophysics

1

Scientific paper

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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