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Determining Asymptotics of Magnetic Fields from Fixed Energy Scattering Data

Mark S. Joshi·Antonio Sa Barreto
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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.

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Mark S. Joshi, Antonio Sa Barreto. 1999-03-24. Determining Asymptotics of Magnetic Fields from Fixed Energy Scattering Data. https://doi.org/10.1007/s002220050326

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