Determining Asymptotics of Magnetic Fields from Fixed Energy Scattering Data

Details Determining Asymptotics of Magnetic Fields from Fixed Energy Scattering Data Determining Asymptotics of Magnetic Fields from Fixed Energy Scattering Data

1999-03-24

arxiv.org/abs/math/9903145v1

Mathematics

Spectral Theory

Scientific paper

10.1007/s002220050326

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.

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