Semiclassical interference of bifurcations
摘要
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.
引用
@article{arxiv.chao-dyn/9703003,
title = {Semiclassical interference of bifurcations},
author = {Henning Schomerus},
journal= {arXiv preprint arXiv:chao-dyn/9703003},
year = {2008}
}
备注
6 pages EuroLATEX (style files included), 4 figures, submitted to Europhys. Lett