2004/10/06 by Srihari Keshavamurthy, Keshavamurthy, Srihari · 1 citation
Computer Science · Physics and Astronomy · #Nonlinear Dynamics and Pattern Formation #Nonlinear Photonic Systems #Quantum chaos and dynamical systems #nlin.CD #physics.chem-ph
paper · pdf · doi:10.48550/arxiv.physics/0410033
5 pages, 3 figures. Submitted to J. Chem. Phys
arxiv created 2004/10/06 · arxiv updated 2009/12/01
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.