Structural Invariance: A Link Between Chaos and Random Matrices

Details Structural Invariance: A Link Between Chaos and Random Matrices Structural Invariance: A Link Between Chaos and Random Matrices

1996-02-03

arxiv.org/abs/chao-dyn/9602004v1

Nonlinear Sciences

Chaotic Dynamics

10 pages, Latex, to appear in ``Proceedings of the Fourth Wigner Symposium''

Scientific paper

The concept of structural invariance previously introduced by the authors is used to argue that the connection between random matrix theory and quantum systems with a chaotic classical counterpart is in fact largely exact in the semiclassical limit, holding for all correlation functions and all energy ranges. This goes considerably further than the usual results obtained through periodic orbit theory.These results hold for eigenvalues of bounded time-independent systems as well as for eigenphases of periodically kicked systems and scattering systems.

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