Twofold-broken rational tori and the uniform semiclassical approximation
Instituut-Lorentz, Universiteit Leiden,
P.O. Box 9506, 2300 RA Leiden, The Netherlands
Published online: 15 April 2000
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.
PACS: 05.45.Mt – Semiclassical chaos ("quantum chaos") / 03.65.Sq – Semiclassical theories and applications
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2000