Semiclassical interference of bifurcations
| dc.creator | Schomerus, Henning | |
| dc.date | 1997-03-03 | |
| dc.date.accessioned | 2026-07-07T09:08:03Z | |
| dc.date.available | 2026-07-07T09:08:03Z | |
| dc.description | 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. | |
| dc.description | 6 pages EuroLATEX (style files included), 4 figures, submitted to Europhys. Lett | |
| dc.identifier | https://arxiv.org/abs/chao-dyn/9703003 | |
| dc.identifier | http://arxiv.org/abs/chao-dyn/9703003 | |
| dc.identifier | Europhys. Lett. 38, 423-428 (1997) | |
| dc.identifier | doi:10.1209/epl/i1997-00262-4 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/150586 | |
| dc.subject | Chaotic Dynamics | |
| dc.title | Semiclassical interference of bifurcations | |
| dc.type | text |