On Inverse Scattering at a Fixed Energy for Potentials with a Regular Behaviour at Infinity
Mathematical Physics
2009-11-11 v2 Analysis of PDEs
math.MP
Abstract
We study the inverse scattering problem for electric potentials and magnetic fields in , that are asymptotic sums of homogeneous terms at infinity. The main result is that all these terms can be uniquely reconstructed from the singularities in the forward direction of the scattering amplitude at some positive energy.
Cite
@article{arxiv.math-ph/0508020,
title = {On Inverse Scattering at a Fixed Energy for Potentials with a Regular Behaviour at Infinity},
author = {Ricardo Weder and Dimitri Yafaev},
journal= {arXiv preprint arXiv:math-ph/0508020},
year = {2009}
}
Comments
This is a slightly edited version of the previous paper