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Ukrainian Mathematical Journal

, Volume 45, Issue 6, pp 871–883 | Cite as

Scattering matrix for the wave equation with finite radial potential in the two-dimensional space

  • A. L. Mil'man
Article
  • 27 Downloads

Abstract

Expressions for partial scattering matricesSl(λ) are obtained for all naturall by using Adamyan's result, which establishes a universal relationship between the scattering matrix for the wave equation with finite potential in a even-dimensional space and the characteristic operator function of a special contraction operator, which describes the dissipation of energy from the region of the space containing a scatterer. It is shown that this problem can be reduced to the case ofl=0 for all evenl and to the case ofl=1 for all oddl.

Keywords

Characteristic Operator Wave Equation Operator Function Contraction Operator Special Contraction 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

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    V. M. Adamyan and D. Z. Arov, “On scattering operators and semigroups of contractions in the Hilbert space,”Dokl. Akad. Nauk SSSR,165, No. 1, 9–12 (1965).Google Scholar
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    V. M. Adamyan, “On scattering theory for the wave equations in even-dimensional spaces,”Funkts. Anal. Prilozh.,10, No. 4, 1–8 (1976).Google Scholar
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Copyright information

© Plenum Publishing Corporation 1994

Authors and Affiliations

  • A. L. Mil'man
    • 1
  1. 1.NPO “Kol'tso”Odessa

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