Inverse Scattering at a Fixed Energy for Long-Range Potentials
Ricardo Weder, Dimitri Yafaev
Abstract
In this paper we consider the inverse scattering problem at a fixed energy for the Schr\"odinger equation with a long-range potential in d, d≥ 3. We prove that the long-range part can be uniquely reconstructed from the leading forward singularity of the scattering amplitude at some positive energy.
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