Abstract
A quantum version of a recent realization of Wigner’s transition state theory in phase space is presented. The theory developed builds on a quantum normal form which locally decouples the quantum dynamics near the transition state to any desired order in \({\hbar}\). This leads to an explicit algorithm to compute cumulative quantum reaction rates and the associated Gamov–Siegert resonances with high accuracy. This algorithm is very efficient since, as opposed to other approaches, it requires no quantum time propagation.
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Acknowledgments
H. Waalkens acknowledges support by EPSRC under grant number EP/E024629/1. S.Wiggins acknowledges the support by the Office of Naval Research Under grant number N00014-01-0769.
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This article is based on the presentation by H. Waalkens at the Fifth Workshop on Critical Stability, Erice, Sicily.
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Open Access This is an open access article distributed under the terms of the Creative Commons Attribution Noncommercial License (https://creativecommons.org/licenses/by-nc/2.0), which permits any noncommercial use, distribution, and reproduction in any medium, provided the original author(s) and source are credited.
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Schubert, R., Waalkens, H. & Wiggins, S. A Quantum Version of Wigner’s Transition State Theory. Few-Body Syst 45, 203–206 (2009). https://doi.org/10.1007/s00601-009-0037-4
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DOI: https://doi.org/10.1007/s00601-009-0037-4