Ionization dynamics of laser-driven H-2(+)

We set out aspects of a numerical algorithm used in solving the full-dimens ionality time-dependent Schrodinger equation describing the electronic moti on of the hydrogen molecular ion driven by an intense, linearly polarized l aser pulse aligned along the molecular axis. This algorithm has been implem ented within the fixed inter-nuclear separation approximation in a parallel computer code, a brief summary of which is given. Ionization rates are cal culated and compared with results from other methods, notably the time-inde pendent Floquet method. Our results compare very favourably with the precis e predictions of the Floquet method, although there is some disagreement wi th other wavepacket calculations. Visualizations of the electron dynamics a re also presented in which electron rescattering is observed.