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Semiclassical interference of bifurcations.

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Semiclassical interference of bifurcations. / Schomerus, H.
In: EPL, Vol. 38, 1997, p. 423.

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Harvard

Schomerus, H 1997, 'Semiclassical interference of bifurcations.', EPL, vol. 38, pp. 423. <http://www.edpsciences.org/articles/epl/abs/1997/15/38604/38604.html>

APA

Schomerus, H. (1997). Semiclassical interference of bifurcations. EPL, 38, 423. http://www.edpsciences.org/articles/epl/abs/1997/15/38604/38604.html

Vancouver

Schomerus H. Semiclassical interference of bifurcations. EPL. 1997;38:423.

Author

Schomerus, H. / Semiclassical interference of bifurcations. In: EPL. 1997 ; Vol. 38. pp. 423.

Bibtex

@article{dd86c2f6d36544fe9735c38632e8d5fb,
title = "Semiclassical interference of bifurcations.",
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.",
author = "H. Schomerus",
year = "1997",
language = "English",
volume = "38",
pages = "423",
journal = "EPL",
issn = "1286-4854",
publisher = "IOP Publishing Ltd.",

}

RIS

TY - JOUR

T1 - Semiclassical interference of bifurcations.

AU - Schomerus, H.

PY - 1997

Y1 - 1997

N2 - 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.

AB - 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.

M3 - Journal article

VL - 38

SP - 423

JO - EPL

JF - EPL

SN - 1286-4854

ER -