Chaotic scattering and the magneto-Coulomb map.

A nonrelativistic classical electron scattering by a fixed ion in a uniform magnetic field is discussed. The system is nonintegrable, and there is chaotic scattering for a certain class of initial conditions. A two-dimensional discrete map is derived from the equation of motion. Our map exhibits four different types of motion by changing the parameters which characterize the initial condition. The fractal structure for certain observables is obtained. The width of the chaotic scattering region in the impact parameter is estimated numerically. We suggest a certain class of plasma environments where the chaotic scattering may have an important role.