Spectral statistics of chaotic systems with a point-like scatterer

Details Spectral statistics of chaotic systems with a point-like scatterer Spectral statistics of chaotic systems with a point-like scatterer

2000-03-07

arxiv.org/abs/nlin/0003016v1

Phys. Rev. Lett. 85 (2000) 2486-2489

Nonlinear Sciences

Chaotic Dynamics

11 pages, no figures

Scientific paper

10.1103/PhysRevLett.85.2486

The statistical properties of a Hamiltonian $H_0$ perturbed by a localized scatterer are considered. We prove that when $H_0$ describes a bounded chaotic motion, the universal part of the spectral statistics are not changed by the perturbation. This is done first within the random matrix model. Then it is shown by semiclassical techniques that the result is due to a cancellation between diagonal diffractive and off-diagonal periodic-diffractive contributions. The compensation is a very general phenomenon encoding the semiclassical content of the optical theorem.

Affiliated with

Also associated with

No associations

Rating

Spectral statistics of chaotic systems with a point-like scatterer 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 Spectral statistics of chaotic systems with a point-like scatterer, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Spectral statistics of chaotic systems with a point-like scatterer will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-305429