Inverse Scattering Problem for the Schrödinger Operator with a Separable Potential

Details Inverse Scattering Problem for the Schrödinger Operator with a Separable Potential Inverse Scattering Problem for the Schrödinger Operator with a Separable Potential

2005-02-09

arxiv.org/abs/math-ph/0502032v1

Physics

Mathematical Physics

9 pages, LaTeX2e

Scientific paper

We prove that the inverse scattering problem for the Schr\"odinger 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.

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