Towards the full quantum dynamical description of photon induced   processes in $\mathrm{D}_{2}^{+}$
  A new quantum dynamical model has been developed to describe the dissociative ionization of deuterium molecular ions by intense laser pulses ($\tau=10$ fs, $\lambda=200$ nm and $I=3\times10^{13}$ W/cm$^{2}$). We calculated the ionization probability densities by solving the time-dependent Schr\"odinger equation numerically. Throughout the simulation the nuclear vibration was considered as a dynamic variable with fixed molecular axis orientation. Benchmark calculations were performed for the ionization of $\mathrm{HeH}^{++}$, for which accurate numerical results are available in the literature, in order to check the performance of this new restricted model. 
Attila T\'oth, S\'andor Borb\'ely, Zsolt G. Kiss, G\'abor J. Hal\'asz   and \'Agnes Vib\'ok
physics.atm-clus