Phys. Rev. E 56, 5174–5177 (1997)Chaos and Lyapunov exponents in classical and quantal distribution dynamicsReceived 24 July 1996; revised 23 April 1997; published in the issue dated November 1997 We analytically establish the role of a spectrum of Lyapunov exponents in the evolution of phase-space distributions ρ(p,q). Of particular interest is λ2, an exponent that quantifies the rate at which chaotically evolving distributions acquire structure at increasingly smaller scales and is generally larger than the maximal Lyapunov exponent λ for trajectories. The approach is trajectory independent and is therefore applicable to both classical and quantum mechanics. In the latter case we show that the ħ→0 limit yields the classical, fully chaotic, result for the quantum cat map. © 1997 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevE.56.5174
DOI:
10.1103/PhysRevE.56.5174
PACS:
05.45.+b, 03.65.Sq
|
|
About | Terms and Conditions | Subscriptions | Search | Help
Use of the American Physical Society websites and journals implies that the user has read and agrees to our Terms and Conditions and any applicable Subscription Agreement. Physical Review®, Physical Review Letters®, Reviews of Modern Physics®, and Physical Review Special Topics® are trademarks of the American Physical Society.