Tunneling and Chaos

Details Tunneling and Chaos Tunneling and Chaos

2000-08-24

arxiv.org/abs/nlin/0008031v1

Nonlinear Sciences

Chaotic Dynamics

Review article for Nobel Symposium entitled `Quantum Chaos Y2K', no figures

Scientific paper

10.1238/Physica.Topical.090a0016

Over the preceeding twenty years, the role of underlying classical dynamics in quantum mechanical tunneling has received considerable attention. A number of new tunneling phenomena have been uncovered that have been directly linked to the set of dynamical possibilities arising in simple systems that contain at least some chaotic motion. These tunneling phenomena can be identified by their novel $\hbar$-dependencies and/or statistical behaviors. We summarize a sampling of these phenomena and mention some applications.

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