Inelastic semiclassical Coulomb scattering

We present a semiclassical S-matrix study of inelastic collinear electron-h ydrogen scattering. A simple way to extract all the necessary information f rom the deflection function alone without having to compute the stability m atrix is described. This includes the determination of the relevant Maslov indices. Results of singlet and triplet cross sections for excitation and i onization are reported. The different levels of approximation-classical, se miclassical and uniform semiclassical-are compared among each other and wit h the full quantum result.