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 $I=3\times {10}^{13}$ 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 ${\mathrm{H}\mathrm{e}\mathrm{H}}^{++}$, for which accurate numerical results are available in the literature, in order to check the performance of this new restricted model.