Inverse Scattering at a Fixed Energy for Long-Range Potentials

Details Inverse Scattering at a Fixed Energy for Long-Range Potentials Inverse Scattering at a Fixed Energy for Long-Range Potentials

2006-10-08

arxiv.org/abs/math-ph/0610016v1

Physics

Mathematical Physics

Scientific paper

In this paper we consider the inverse scattering problem at a fixed energy
for the Schr\"odinger equation with a long-range potential in $\ere^d, d\geq
3$. We prove that the long-range part can be uniquely reconstructed from the
leading forward singularity of the scattering amplitude at some positive
energy.

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