  We use the effective Hamiltonian that we recently fitted against the first
306 experimentally observed vibronic transitions of NO2 [J. Chem. Phys. 119,
5923 (2003)] to investigate the time domain nonadiabatic dynamics of this
molecule on the coupled X2A1 and A2B2 electronic states, using both quantum
mechanical and quasiclassical techniques. From the quantum mechanical point of
view, we show that the transfer of population to the electronic ground state
originating from a wave packet launched on the excited state occurs in a
stepwise fashion. The evolution of wave packets launched on the electronic
ground state is instead more complex because the crossing seam is located close
to the bottom of the electronic excited state. We next use the mapping
formalism, which replaces the discrete electronic degrees of freedom by
continuous ones, to obtain a classical description of the coupled electronic
states. We propagate gaussian swarms of trajectories to show that this approach
can be used to calculate the populations in each electronic state. We finally
propose a very simple trajectory surface hopping model, which assumes that
trajectories have a constant probability to jump onto the other state in a
particular region of the phase space and a null hopping probability outside
from this region. Quasiclassical calculations show that this model enables a
precise estimation of complex quantities, like for example the projection of
the instantaneous probability density on given planes.

Chemical Physics