Twofold-broken rational tori and the uniform semiclassical approximation

Henning Schomerus

doi:10.1007/s100530050520

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arXiv · chao-dyn/9904003

Twofold-broken rational tori and the uniform semiclassical approximation

Henning Schomerus

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Abstract

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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Henning Schomerus. 1999-03-31. Twofold-broken rational tori and the uniform semiclassical approximation. https://doi.org/10.1007/s100530050520

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