Nonlinear Sciences – Chaotic Dynamics
Scientific paper
2005-03-31
Nonlinear Sciences
Chaotic Dynamics
24 pages
Scientific paper
10.1007/s00220-005-1412-8
Using heuristic arguments based on the trace formulas, we analytically calculate the semiclassical two-point correlation form factor for a family of rectangular billiards with a barrier of height irrational with respect to the side of the billiard and located at any rational position p/q from the side. To do this, we first obtain the asymptotic density of lengths for each family of periodic orbits by a Siegel-Veech formula. The result K(0)=1/2+1/q obtained for these pseudo-integrable, non-Veech billiards is different but not far from the value of 1/2 expected for semi-Poisson statistics and from values of K(0) obtained previously in the case of Veech billiards.
No associations
LandOfFree
Periodic orbits and semiclassical form factor in barrier billiards 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 Periodic orbits and semiclassical form factor in barrier billiards, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Periodic orbits and semiclassical form factor in barrier billiards will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-721100