classical approximation to time-dependent quantum mechanical scattering in
the Moller formalism is presented. Numerically, our approach is similar to
a standard classical-trajectory Monte Carlo calculation. Conceptually, howe
ver, our formulation allows one to release the restriction to stationary in
itial distributions. This is achieved by a classical forward-backward propa
gation technique. As a first application and for comparison with experiment
we present fully differential cross sections for electron-impact ionizatio
n of atomic hydrogen in the Erhardt geometry.