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Ehrenfest Times for Classically Chaotic Systems by Silvestrov, P. G.; Beenakker, C. W. J. is a scholarly article available to read on EtoBox.

What is Ehrenfest Times for Classically Chaotic Systems about?

We describe the quantum mechanical spreading of a Gaussian wave packet by means of the semiclassical WKB approximation of Berry and Balazs. We find that the time scale $\tau$ on which this approximation breaks down in a chaotic system is larger than the Ehrenfest times considered previously. In one dimension $\tau=\fr{7}{6}\lambda^{-1}\ln(A/\hbar)$, with $\lambda$ the Lyapunov exponent and $A$ a typical classical action.

Author

Silvestrov, P. G.; Beenakker, C. W. J.

Published

2001

Language

EN