About common physical nature of divergence and interference

2000/08/09 by Daniel L. Miller, Miller, Daniel L.
Physics and Astronomy · #Chaotic Dynamics (nlin.CD) #Condensed Matter (cond-mat) #FOS: Physical sciences #cond-mat #nlin.CD

paper · pdf · doi:10.48550/arxiv.cond-mat/0008143

3 pages, latex

arxiv created 2000/08/09 · arxiv updated 2009/11/30

Abstract

The difference of actions between nearly lying unstable ``8'' and ``0'' like trajectories in two dimensions is computed by methods of chaotic dynamics. We found it to be equal to pYΘ/2, where Θ is angle between paths at cross, Y is distance between paths, and p is momentum. This kind of periodic trajectories contributes τ² (interference) term to spectral form-factor.

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