On dynamical tunneling and classical resonances

Details On dynamical tunneling and classical resonances On dynamical tunneling and classical resonances

2004-10-06

arxiv.org/abs/physics/0410033v1

Physics

Chemical Physics

5 pages, 3 figures. Submitted to J. Chem. Phys

Scientific paper

This letter establishes a firm relationship between classical nonlinear resonances and the phenomenon of dynamical tunneling. It is shown that the classical phase space with its hierarchy of resonance islands completely characterizes dynamical tunneling. In particular, it is not important to invoke criteria such as the size of the islands and presence or absence of avoided crossings for a consistent description of dynamical tunneling in near-integrable systems.

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