Semiclassical interference of bifurcations
- 20 May 1997
- journal article
- Published by IOP Publishing in Europhysics Letters
- Vol. 38 (6) , 423-428
- https://doi.org/10.1209/epl/i1997-00262-4
Abstract
In semiclassical studies of systems with mixed phase space, the neighbourhood of bifurcations of co-dimension two is felt strongly even though such bifurcations are ungeneric in classical mechanics. We discuss a scenario which reveals this fact and derive the correct semiclassical contribution of the bifurcating orbits to the trace of the unitary time evolution operator. That contribution has a certain collective character rather than being additive in the individual periodic orbits involved. The relevance of our observation is demonstrated by a numerical study of the kicked top; the collective contribution derived is found to considerably improve the semiclassical approximation of the trace.Keywords
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