Determining Asymptotics of Magnetic Fields from Fixed Energy Scattering Data
Spectral Theory
2009-10-31 v1 Analysis of PDEs
Abstract
The problem of recovering the asymptotics of a short range perturbation of the Euclidean Laplacian on n dimensional Eudlidean space from fixed energy scattering data is studied. It is shown that for greater than or equal to three that a magnetic potential is determined, modulo Gauge invariance, by its scattering matrix at a fixed non-zero energy. This result also holds for a wide class of scattering manifolds.
Cite
@article{arxiv.math/9903145,
title = {Determining Asymptotics of Magnetic Fields from Fixed Energy Scattering Data},
author = {Mark S. Joshi and Antonio Sa Barreto},
journal= {arXiv preprint arXiv:math/9903145},
year = {2009}
}