2019
Том 71
№ 9

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

Mil'man A. L.

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Abstract

Expressions for partial scattering matrices $S_l(\lambda)$ 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 of $l = 0$ for all even $l$ and to the case of $l = 1$ for all odd $l$.

English version (Springer): Ukrainian Mathematical Journal 45 (1993), no. 6, pp 871-883.

Citation Example: Mil'man A. L. Scattering matrix for the wave equation with finite radial potential in the two-dimensional space // Ukr. Mat. Zh. - 1993. - 45, № 6. - pp. 791–802.

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