1210.6552 (Alexandre Jollivet)

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

Alexandre Jollivet

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.

View original: http://arxiv.org/abs/1210.6552