Time-Dependent Close-Coupling Calculations for Electron-Impact Ionization of H$^+_2$

The time-dependent close-coupling method for two electron molecular systems is used to calculate electron-impact dissociative excitation and ionization cross sections for H$^+_2$. A perturbative distorted-wave method is also formulated to calculate the same cross sections for H$^+_2$. For low total azimuthal symmetry, a 6 coupled-channels non-perturbative calculation on a 9.4 million point radial and angular lattice yields partial cross sections that are in reasonable agreement with the first-order perturbation theory results. When the non-perturbative results for low symmetry are combined with the perturbative results for high symmetry, the resulting dissociative ionization cross section is in excellent agreement with experiment.