@incollection{statphys23_1015,
title = {Periodic Orbit Theory of Level Correlation},
address = {Genova, Italy},
author = {S. Heusler and S. Mueller and A. Altland and P. Braun and F. Haake},
booktitle = {Abstract Book of the XXIII IUPAP International Conference on Statistical Physics},
editor = {Luciano Pietronero and Vittorio Loreto and Stefano Zapperi},
month = {9-13 July},
url = {http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=1015},
year = {2007},
abstract = {It was established some 20 years ago that statistical properties of the energy
spectra of classically chaotic systems are universal and obey the Random Matrix
Theory (RMT) predictions. We present a semiclassical explanation of this fact
representing the spectral correlation functions as sums over sets of classical
periodic orbits. We show that the relevant sets are composed of the so called
partner orbits built of practically the same pieces traversed in different order and with different sense. Switching to another partner is done by reconnections within the orbit encounters, i.e., places where several stretches of the same orbit or different orbits are very close and almost parallel to each other. The existence of bunches of periodic orbit-partners is a striking feature of hyperbolic motion in classical mechanics. After summation over all sets of partner orbits the exact RMT spectral correlation functions are reproduced.},
keywords = {chaotic classically correlation orbit periodic rmt spectral statphys23 topic-8 }
}
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