Inverse Scattering at a Fixed Energy for Long-Range Potentials
Mathematical Physics
2020-05-22 v1 Analysis of PDEs
math.MP
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 . 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
Cite
@article{arxiv.math-ph/0610016,
title = {Inverse Scattering at a Fixed Energy for Long-Range Potentials},
author = {Ricardo Weder and Dimitri Yafaev},
journal= {arXiv preprint arXiv:math-ph/0610016},
year = {2020}
}