Semiclassical transmission across transition states
Chaotic Dynamics
2009-11-11 v1
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 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.
Cite
@article{arxiv.nlin/0506004,
title = {Semiclassical transmission across transition states},
author = {Stephen C. Creagh},
journal= {arXiv preprint arXiv:nlin/0506004},
year = {2009}
}
Comments
To appear in Nonlinearity