## 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