Semiclassical interference of bifurcations.

Schomerus, H. (1997) Semiclassical interference of bifurcations. EPL, 38. p. 423. ISSN 1286-4854

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Abstract

In semiclassical studies of systems with a 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.

Item Type:
Journal Article
Journal or Publication Title:
EPL
Uncontrolled Keywords:
/dk/atira/pure/subjectarea/asjc/3100
Subjects:
ID Code:
711
Deposited By:
Deposited On:
31 Oct 2007
Refereed?:
Yes
Published?:
Published
Last Modified:
04 Jun 2020 00:56