Geometrical theory of diffraction and spectral statistics

Details Geometrical theory of diffraction and spectral statistics Geometrical theory of diffraction and spectral statistics

1999-10-06

arxiv.org/abs/chao-dyn/9910006v1

J. Phys. A 32 (1999) 7679

Nonlinear Sciences

Chaotic Dynamics

14 pages, no figure, to appear in J. Phys. A

Scientific paper

10.1088/0305-4470/32/44/307

We investigate the influence of diffraction on the statistics of energy levels in quantum systems with a chaotic classical limit. By applying the geometrical theory of diffraction we show that diffraction on singularities of the potential can lead to modifications in semiclassical approximations for spectral statistics that persist in the semiclassical limit $\hbar \to 0$. This result is obtained by deriving a classical sum rule for trajectories that connect two points in coordinate space.

Affiliated with

Also associated with

No associations

Rating

Geometrical theory of diffraction and spectral statistics 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 Geometrical theory of diffraction and spectral statistics, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Geometrical theory of diffraction and spectral statistics will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-528664