Understanding chemical reactions within a generalized Hamilton-Jacobi framework

Details Understanding chemical reactions within a generalized Hamilton-Jacobi framework Understanding chemical reactions within a generalized Hamilton-Jacobi framework

2009-05-30

arxiv.org/abs/0906.0074v2

Chem. Phys. Lett. 478, 89 (2009)

Physics

Quantum Physics

22 pages, 5 figures, 1 table

Scientific paper

10.1016/j.cplett.2009.07.046

Reaction paths and classical and quantum trajectories are studied within a generalized Hamilton-Jacobi framework, which allows to put on equal footing topology and dynamics in chemical reactivity problems. In doing so, we show how high-dimensional problems could be dealt with by means of Caratheodory plots or how trajectory-based quantum-classical analyses reveal unexpected discrepancies. As a working model, we consider the reaction dynamics associated with a Mueller-Brown potential energy surface, where we focus on the relationship between reaction paths and trajectories as well as on reaction probability calculations from classical and quantum trajectories.

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