Ehrenfest times for classically chaotic systems

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dc.creatorSilvestrov, P. G.
dc.creatorBeenakker, C. W. J.
dc.date2001-11-19
dc.date.accessioned2026-07-07T05:33:46Z
dc.date.available2026-07-07T05:33:46Z
dc.descriptionWe 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 $τ$ on which this approximation breaks down in a chaotic system is larger than the Ehrenfest times considered previously. In one dimension $τ=\fr{7}{6}λ^{-1}\ln(A/\hbar)$, with $λ$ the Lyapunov exponent and $A$ a typical classical action.
dc.description4 pages
dc.identifierhttps://arxiv.org/abs/nlin/0111042
dc.identifierhttp://arxiv.org/abs/nlin/0111042
dc.identifierPhys.Rev.E 65, 035208(R) (2002)
dc.identifierdoi:10.1103/PhysRevE.65.035208
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/80119
dc.subjectChaotic Dynamics
dc.subjectMesoscale and Nanoscale Physics
dc.subjectQuantum Physics
dc.titleEhrenfest times for classically chaotic systems
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