Hamilton-Jacobi Formulation of KS Entropy for Classical and Quantum Dynamics

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dc.creatorPartovi, M. Hossein
dc.date2001-07-16
dc.date.accessioned2026-07-07T06:02:26Z
dc.date.available2026-07-07T06:02:26Z
dc.descriptionA Hamilton-Jacobi formulation of the Lyapunov spectrum and KS entropy is developed. It is numerically efficient and reveals a close relation between the KS invariant and the classical action. This formulation is extended to the quantum domain using the Madelung-Bohm orbits associated with the Schroedinger equation. The resulting quantum KS invariant for a given orbit equals the mean decay rate of the probability density along the orbit, while its ensemble average measures the mean growth rate of configuration-space information for the quantum system.
dc.descriptionpreprint, 8 pages (revtex)
dc.identifierhttps://arxiv.org/abs/quant-ph/0107083
dc.identifierhttp://arxiv.org/abs/quant-ph/0107083
dc.identifierPhys. Rev. Lett. 89, 144101 (2002)
dc.identifierdoi:10.1103/PhysRevLett.89.144101
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/89598
dc.subjectQuantum Physics
dc.subjectChaotic Dynamics
dc.titleHamilton-Jacobi Formulation of KS Entropy for Classical and Quantum Dynamics
dc.typetext

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