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posted on 11.05.2007by Shinnosuke Kawai, Andre D. Bandrauk, Charles Jaffe, Thomas Bartsch, Jesus Palacian, T. Uzer
Recent developments in Transition State Theory brought about by dynamical systems theory
are extended to time-dependent systems such as laser-driven reactions. Using time-dependent
normal form theory, we construct a reaction coordinate with regular dynamics inside the transition
region. The conservation of the associated action enables one to extract time-dependent invariant
manifolds that act as separatrices between reactive and non-reactive trajectories and thus make it
possible to predict the ultimate fate of a trajectory. We illustrate the power of our approach on
a driven H´enon-Heiles system, which serves as a simple example of a reactive system with several
open channels. The present generalization of Transition State Theory to driven systems will allow
one to study processes such as the control of chemical reactions through laser pulses.