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We calculate two-dimensional (2D) spectra reflecting the time-dependent electronic predissociation of a diatomic molecule. The laser-excited electronic state is coupled non-adiabatically to a fragment channel, leading to the decay of the prepared quasi-bound states. This decay can be monitored by the three-pulse configuration employed in optical 2D spectroscopy. It is shown that in this way it is possible to state-selectively characterize the time-dependent population of resonance states with different lifetimes. A model of the NaI molecule serves as a numerical example.
In the context of quantum mechanical calculations, the properties of non-adiabatic coupling in a small system, the Shin-Metiu model, is investigated.
The transition from adiabatic to non-adiabatic dynamics is elucidated in modifying the electron-nuclear interaction. This allows the comparison of weakly correlated electron-nuclear motion with the case where the strong correlations determine the dynamics.
The studies of the model are extended to include spectroscopical transitions being present in two-dimensional and degenerate four-wave mixing spectroscopy.
Furthermore, the quantum and classical time-evolution of the coupled motion in the complete electron-nuclear phase space is compared for the two coupling cases.
Additionally, the numerically exact electron flux within the weak coupling case is compared to the Born-Oppenheimer treatment.
In the last part of the thesis, the model is extended to two dimensions.
The system then possesses potential energy surfaces which exhibit a typical 'Mexican hat'-like structure and a conical intersection in the adiabatic representation.
Thus, it is possible to map properties of the system onto a vibronic coupling (Jahn-Teller) hamiltonian. Exact wave-packet propagations as well as nuclear wave-packet dynamics in the adiabatic and diabatic representation are performed.