paper

Inverse Scattering Problem for the Schrödinger Operator with a Separable Potential

arXiv:math-ph/0502032

Abstract

We prove that the inverse scattering problem for the Schrödinger operator with the separable potential can be reduced to the solving of a certain singular integral equation. We establish the uniqueness of the potential corresponding to given scattering amplitude in the class of separable potentials.

9 pages, LaTeX2e

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