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arXiv · 1210.6552

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

Alexandre Jollivet
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Abstract

We consider the inverse scattering problem at fixed and sufficiently large energy for the nonrelativistic and relativistic Newton equation in $\R^n$, $n \ge 2$, 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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Alexandre Jollivet. 2012-10-24. Inverse scattering at fixed energy for the multidimensional Newton equation in short range radial potentials. https://arxiv.org/abs/1210.6552

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