Semiclassical interference of bifurcations
Preprint
- 3 March 1997
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
All Related Versions
- Version 1, 1997-03-03, ArXiv
- Published version: Europhysics Letters, 38 (6), 423.
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