Role of divergence of classical trajectories in quantum chaos

Details Role of divergence of classical trajectories in quantum chaos Role of divergence of classical trajectories in quantum chaos

1996-10-06

arxiv.org/abs/cond-mat/9610034v1

Physics

Condensed Matter

4 pages, no figures

Scientific paper

10.1103/PhysRevE.55.R1243

We study logarithmical in $\hbar$ effects in the statistical description of quantum chaos. We found analytical expressions for the deviations from the universality in the weak localization corrections and the level statistics and showed that the characteristic scale for these deviations is the Ehrenfest time, $t_E= \lambda^{-1}|\ln\hbar|$, where $\lambda$ is the Lyapunov exponent of the classical motion.

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