Non-universality of chaotic classical dynamics: implications for quantum chaos

Details Non-universality of chaotic classical dynamics: implications for quantum chaos Non-universality of chaotic classical dynamics: implications for quantum chaos

1999-07-22

arxiv.org/abs/chao-dyn/9907031v1

Nonlinear Sciences

Chaotic Dynamics

4 pages, RevTeX, 3 Postscipt figures

Scientific paper

It might be anticipated that there is statistical universality in the long-time classical dynamics of chaotic systems, corresponding to the universal correspondence of their quantum spectral statistics with random matrix models. We argue that no such universality exists. We discuss various statistical properties of long period orbits: the distribution of the phase-space density of periodic orbits of fixed length and a correlation function of periodic-orbit actions, corresponding to the universal quantum spectral two-point correlation function. We show that bifurcations are a mechanism for correlations of periodic-orbit actions. They lead to a result which is non-universal, and which in general may not be an analytic function of the action difference.

Affiliated with

Also associated with

No associations

Rating

Non-universality of chaotic classical dynamics: implications for quantum chaos does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Non-universality of chaotic classical dynamics: implications for quantum chaos, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Non-universality of chaotic classical dynamics: implications for quantum chaos will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-198237