Volume 47, Number 3, August I 1999
|Page(s)||285 - 291|
|Published online||01 September 2002|
Quantum tunneling and the semiclassical real time dynamics of the density matrix
Department of Chemistry, Columbia University - New York, NY 10027, USA
2 Fakultät für Physik, Albert-Ludwigs-Universität Freiburg Hermann-Herder-Straße 3, D-79104 Freiburg, Germany
Accepted: 2 June 1999
The time evolution of the density matrix of a system with potential barrier is determined using path integrals. Describing the quantum dynamics in terms of the semiclassical motion in the complex coordinate plane, a detailed picture of barrier penetration in the time domain and the change-over from thermal activation to quantum tunneling is gained. Deep tunneling is shown to arise from specific fluctuations about the semiclassical real time trajectories.
PACS: 03.65.Sq – Semiclassical theories and applications / 82.20.Db – Statistical theories (including transition states) / 05.60.Gg – Quantum transport
© EDP Sciences, 1999
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