%0 Generic %A Ruggenthaler, Michael %D 2009 %F heidok:9540 %K Intensive Laser-Materie Wechselwirkung , Hohe Harmonische , Resonante Wechselwirkung , Plasmonen-Resonanz , Sturm-Liouville ProblemIntense Laser-Matter Interaction , High Harmonics , Resonant Interaction , Plasmon-Resonance , Sturm-Liouville Problem %R 10.11588/heidok.00009540 %T Time-Dependent Density Functional Theory for Intense Laser-Matter Interaction %U https://archiv.ub.uni-heidelberg.de/volltextserver/9540/ %X In order to properly describe the dynamics of a many-particle system in strong, time-dependent fields, a nonperturbative treatment of all constituents and of their correlation is needed. An ab initio solution of the time-dependent many-body Schrödinger equation is only feasible for simple systems. Hence, for many-electron systems in intense laser fields practicable methods for solving the quantum-mechanical many-body problem are required. An formally exact approach is the time-dependent density functional theory. In this work a mathematically rigorous formulation of the foundations of this theory is given. Further the non-locality in time of the exchange-correlation functionals is examined, and we formally define the notion of "quantum memory". We investigate the fundamental process of Rabi oscillations from a density-functional point of view and find the few-level approximation to be in conflict with the basis of time-dependent density functional theory. Finally, we apply the theory to calculate the electron dynamics of C60 in intense laser pulses. Although the laser light is far off-resonant with respect to the collective modes of the C60 the multi-electron dynamics strongly influences the harmonic spectra. The efficiency of this multi-particle recollision process with respect to the usual single active electron approximation of high-order harmonic generation is estimated by two analytical models.