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On inverse problems in electromagnetic field in classical mechanics at fixed energy

Alexandre Jollivet
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Abstract

In this paper, we consider inverse scattering and inverse boundary value problems at sufficiently large and fixed energy for the multidimensional relativistic and nonrelativistic Newton equations in a static external electromagnetic field $(V,B)$, $V\in C^2,$ $B\in C^1$ in classical mechanics. Developing the approach going back to Gerver-Nadirashvili 1983's work on an inverse problem of mechanics, we obtain, in particular, theorems of uniqueness.

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Alexandre Jollivet. 2007-01-04. On inverse problems in electromagnetic field in classical mechanics at fixed energy. https://arxiv.org/abs/math-ph/0701008

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