Hamilton-Jacobi Formulation of KS Entropy for Classical and Quantum Dynamics
Quantum Physics
2007-05-23 v1 Chaotic Dynamics
Abstract
A 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.
Cite
@article{arxiv.quant-ph/0107083,
title = {Hamilton-Jacobi Formulation of KS Entropy for Classical and Quantum Dynamics},
author = {M. Hossein Partovi},
journal= {arXiv preprint arXiv:quant-ph/0107083},
year = {2007}
}
Comments
preprint, 8 pages (revtex)