Twofold-broken rational tori and the uniform semiclassical approximation

Details Twofold-broken rational tori and the uniform semiclassical approximation Twofold-broken rational tori and the uniform semiclassical approximation

1999-03-31

arxiv.org/abs/chao-dyn/9904003v1

Eur. Phys. J. D 10, 5 (2000)

Nonlinear Sciences

Chaotic Dynamics

7 pages, 4 figures

Scientific paper

10.1007/s100530050520

We investigate broken rational tori consisting of a chain of four (rather than two) periodic orbits. The normal form that describes this configuration is identified and used to construct a uniform semiclassical approximation, which can be utilized to improve trace formulae. An accuracy gain can be achieved even for the situation when two of the four orbits are ghosts. This is illustrated for a model system, the kicked top.

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