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20 April 2024
 
  » arxiv » nlin.CD/0111042

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Ehrenfest times for classically chaotic systems
P.G.Silvestrov ; C.W.J.Beenakker ;
Date 19 Nov 2001
Journal Phys.Rev.E 65, 035208(R) (2002) DOI: 10.1103/PhysRevE.65.035208
Subject Chaotic Dynamics; Mesoscopic Systems and Quantum Hall Effect | nlin.CD cond-mat.mes-hall quant-ph
AbstractWe 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 $ au$ on which this approximation breaks down in a chaotic system is larger than the Ehrenfest times considered previously. In one dimension $ au=fr{7}{6}lambda^{-1}ln(A/hbar)$, with $lambda$ the Lyapunov exponent and $A$ a typical classical action.
Source arXiv, nlin.CD/0111042
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