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For systems subject to a large amplitude, transient perturbation -- e.g. a laser-driven reaction -- an exact description of the phase space structure for the kicked system can be given in terms that of the background system. The description comes from a wave operator based analogy of time-dependent scattering theory for general classical systems. For conservative models of reacting molecules, invariant stable and unstable manifolds have often been used to define transition states and dividing surfaces. For non-conservative laser-driven systems, stable and unstable manifolds in phase space vary in time, making the geometric view transition state theory more delicate. We use the description from scattering theory to compute such time-dependent stable and unstable manifolds for a laser-driven Henon-Heiles systems. |
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