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.