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Semiclassical interference of bifurcations.

Schomerus, H. (1997) Semiclassical interference of bifurcations. Europhysics Letters, 38. p. 423.

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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: Article
    Journal or Publication Title: Europhysics Letters
    Subjects: UNSPECIFIED
    Departments: Faculty of Science and Technology > Physics
    ID Code: 711
    Deposited By: Dr Henning Schomerus
    Deposited On: 31 Oct 2007
    Refereed?: Yes
    Published?: Published
    Last Modified: 26 Jul 2012 18:19
    Identification Number:
    URI: http://eprints.lancs.ac.uk/id/eprint/711

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