Year: 2002
Type: article
Abstract: We describe the quantum-mechanical spreading of a Gaussian wave packet by means of the semiclassical WKB approximation of Berry and Balazs [J. Phys. A $2,$ 625 (1979)]. We find that the time scale $\ensuremath{\tau}$ on which this approximation breaks down in a chaotic system is larger than the Ehrenfest times considered previously. In one dimension $\ensuremath{\tau}=\frac{7}{6}{\ensuremath{\lambda}}^{\ensuremath{-}1}\mathrm{ln}(A/\ensuremath{\Elzxh}),$ with $\ensuremath{\lambda}$ the Lyapunov exponent and A a typical classical action.
Authors: P. G. Silvestrov, C. W. J. Beenakker
Institutions: Leiden University, Budker Institute of Nuclear Physics
Language: English
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2030191094