The n-level spectral correlations for chaotic systems

Details The n-level spectral correlations for chaotic systems The n-level spectral correlations for chaotic systems

2009-05-24

arxiv.org/abs/0905.3888v2

Nonlinear Sciences

Chaotic Dynamics

20 pages, no figure, minor corrections made

Scientific paper

We study the $n$-level spectral correlation functions of classically chaotic quantum systems without time-reversal symmetry. According to Bohigas, Giannoni and Schmit's universality conjecture, it is expected that the correlation functions are in agreement with the prediction of the Circular Unitary Ensemble (CUE) of random matrices. A semiclassical resummation formalism allows us to express the correlation functions as sums over pseudo-orbits. Using an extended version of the diagonal approximation on the pseudo-orbit sums, we derive the $n$-level correlation functions identical to the $n \times n$ determinantal correlation functions of the CUE.

Affiliated with

Also associated with

No associations

Rating

The n-level spectral correlations for chaotic systems 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 The n-level spectral correlations for chaotic systems, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The n-level spectral correlations for chaotic systems will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-115000