Abstract
Methods have been developed to solve the time-dependent Schrödinger equation with Coulomb interactions, and applied to H+ and C+6 collisions with H in the energy range 8-84 keV/amu. Total charge-transfer cross sections agree well with experiment, while ionization cross sections are higher than previous estimates at low energies. The phenomenon of "cusp asymmetry" is verified. Examination of charge-density plots reveals unexpected structures.