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Semiclassical transmission across transition states

2005/06/01 by Stephen C. Creagh · 1 citation
Physics and Astronomy · #nlin.CD

paper · pdf · doi:10.1088/0951-7715/18/5/011

To appear in Nonlinearity

arxiv created 2005/06/01 · arxiv updated 2009/12/01

Abstract

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 Poincaré 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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