%0 Journal Article
%T Hamilton-Jacobi Formulation of KS Entropy for Classical and Quantum Dynamics
%A M. Hossein Partovi
%J Physics
%D 2001
%I arXiv
%R 10.1103/PhysRevLett.89.144101
%X 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.
%U http://arxiv.org/abs/quant-ph/0107083v1