Inverse scattering at a fixed energy for long-range potentials
Ricardo Weder Dimitri Yafaev
Inverse Problems & Imaging 2007, 1(1): 217-224 doi: 10.3934/ipi.2007.1.217
In this paper we consider the inverse scattering problem at a fixed energy for the Schrödinger equation with a long-range potential in $R^d, d\geq 3$. We prove that the long-range part can be uniquely reconstructed from the leading forward singularity of the scattering amplitude at some positive energy.
keywords: fixed energy. inverse scattering long-range potentials

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