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

  • A. L. Mil'man

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 $l$.
Published
25.06.1993
How to Cite
Mil’manA. L. “Scattering Matrix for the Wave Equation With Finite Radial Potential in the Two-Dimensional Space”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 45, no. 6, June 1993, pp. 791–802, https://umj.imath.kiev.ua/index.php/umj/article/view/5868.
Section
Research articles