Nonlinear Sciences – Chaotic Dynamics
Scientific paper
2007-11-28
Phys. Rev. E 77 (2008) 046219
Nonlinear Sciences
Chaotic Dynamics
21 pages, 5 figures
Scientific paper
10.1103/PhysRevE.77.046219
The Wigner time delay of a classically chaotic quantum system can be expressed semiclassically either in terms of pairs of scattering trajectories that enter and leave the system or in terms of the periodic orbits trapped inside the system. We show how these two pictures are related on the semiclassical level. We start from the semiclassical formula with the scattering trajectories and derive from it all terms in the periodic orbit formula for the time delay. The main ingredient in this calculation is a new type of correlation between scattering trajectories which is due to trajectories that approach the trapped periodic orbits closely. The equivalence between the two pictures is also demonstrated by considering correlation functions of the time delay. A corresponding calculation for the conductance gives no periodic orbit contributions in leading order.
Kuipers J. J.
Sieber Martin
No associations
LandOfFree
The semiclassical relation between open trajectories and periodic orbits for the Wigner time delay 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 semiclassical relation between open trajectories and periodic orbits for the Wigner time delay, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The semiclassical relation between open trajectories and periodic orbits for the Wigner time delay will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-249754