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arxiv: nlin/0506004 · v1 · submitted 2005-06-01 · 🌊 nlin.CD

Semiclassical transmission across transition states

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keywords transmissionacrossderivedphaseresultspaceapproximatedbottleneck
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It is shown that the probability of quantum-mechanical transmission across a phase space bottleneck can be compactly approximated using an operator derived from a complex Poincar\'e return map. This result uniformly incorporates tunnelling effects with classically-allowed transmission and generalises a result previously derived for a classically small region of phase space.

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