Inverse scattering at fixed energy for the multidimensional Newton equation in short range radial potentials

2012/10/24 by Alexandre Jollivet, Jollivet, Alexandre
Mathematics · Physics and Astronomy · #FOS: Physical sciences #Mathematical Physics (math-ph) #math-ph #math.MP

paper · pdf · doi:10.48550/arxiv.1210.6552

arxiv created 2012/10/24 · arxiv updated 2012/10/25

Abstract

We consider the inverse scattering problem at fixed and sufficiently large energy for the nonrelativistic and relativistic Newton equation in \Rⁿ, n ≥ 2, with a smooth and short range electromagnetic field (V,B). Using results of [Firsov, 1953] or [Keller-Kay-Shmoys, 1956] we obtain a uniqueness result when B is assumed to be zero in a neighborhood of infinity and V is assumed to be spherically symmetric in a neighborhood of infinity.

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