Few-Body Systems

, Volume 45, Issue 2–4, pp 203–206 | Cite as

A Quantum Version of Wigner’s Transition State Theory

  • R. Schubert
  • H. WaalkensEmail author
  • S. Wiggins
Open Access


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.


Unitary Transformation Quantum Dynamic Transition State Theory Quantum Version Quantum Simulation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.



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.

Open Access

This article is distributed under the terms of the Creative Commons Attribution Noncommercial License which permits any noncommercial use, distribution, and reproduction in any medium, provided the original author(s) and source are credited.


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Copyright information

© The Author(s) 2009

Authors and Affiliations

  1. 1.School of MathematicsUniversity Walk, University of BristolBristolUK
  2. 2.Department of MathematicsUniversity of GroningenGroningenThe Netherlands

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