Abstract
Expressions for partial scattering matricesS l(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.
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References
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 45, No. 6, pp. 791–802, June, 1993.
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Mil'man, A.L. Scattering matrix for the wave equation with finite radial potential in the two-dimensional space. Ukr Math J 45, 871–883 (1993). https://doi.org/10.1007/BF01061439
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DOI: https://doi.org/10.1007/BF01061439