Few electron systems in a strong laser pulse

We propose a numerical procedure for investigating the dynamics of a one electron wave function in a strong, sub-femtosecond laser field. The non-perturbative time evolution method does not rely on an eigenfunction basis set but uses the multiresolution techniques for spatial discretization as described in [Harrison et. al., J. Chem. Phys. 121, 2866 (2004)]. The time propagation is done by the chin-chen time splitting method [Chin Chen, J. Chem. Phys. 114, 7338 (2001)]. The excitation and ionization cross-sections for the hydrogen atom, the oxygen ion and the hydrogen molecular ion could serve as a benchmark for future calculations and experiments due to the well controlled accuracy inherent in this numerical scheme.