Quantized chaotic dynamics and non-commutative KS entropy

Details Quantized chaotic dynamics and non-commutative KS entropy Quantized chaotic dynamics and non-commutative KS entropy

1995-02-28

arxiv.org/abs/chao-dyn/9502022v2

Annals of Physics, to appear

Nonlinear Sciences

Chaotic Dynamics

a number of misprints corrected, new references and a new section added. 21 pages, plain TeX

Scientific paper

10.1006/aphy.1996.0056

We study the quantization of two examples of classically chaotic dynamics, the Anosov dynamics of "cat maps" on a two dimensional torus, and the dynamics of baker's maps. Each of these dynamics is implemented as a discrete group of automorphisms of a von Neumann algebra of functions on a quantized torus. We compute the non- commutative generalization of the Kolmogorov-Sinai entropy, namely the Connes-Stormer entropy, of the generator of this group, and find that its value is equal to the classical value. This can be interpreted as a sign of persistence of chaotic behavior in a dynamical system under quantization.

Affiliated with

Also associated with

No associations

Rating

Quantized chaotic dynamics and non-commutative KS entropy does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Quantized chaotic dynamics and non-commutative KS entropy, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Quantized chaotic dynamics and non-commutative KS entropy will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-51561