Inverse scattering at a fixed energy for long-range potentials
Inverse scattering at a fixed energy for long-range potentials
In this paper we consider the inverse scattering problem at a fixedenergy for the Schrödinger equation with a long-range potentialin $R^d, d\geq 3$. We prove that the long-range part can beuniquely reconstructed from the leading forward singularity of thescattering amplitude at some positive energy.