On the notion of quantum Lyapunov exponent

Details On the notion of quantum Lyapunov exponent On the notion of quantum Lyapunov exponent

2005-05-10

arxiv.org/abs/quant-ph/0505066v1

Physics

Quantum Physics

11 pages. Submitted to: Proceedings of Petrovskii Conference on Differential Equations, May 2004, Moscow, Russia

Scientific paper

Classical chaos refers to the property of trajectories to diverge exponentially as time tends to infinity. It is characterized by a positive Lyapunov exponent. There are many different descriptions of quantum chaos. The one related to the notion of generalized (quantum) Lyapunov exponent is based either on qualitative physical considerations or on the so-called symplectic tomography map. The purpose of this note is to show how the definition of quantum Lyapunov exponent naturally arises in the framework of the Moyal phase space formulation of quantum mechanics and is based on the notions of quantum trajectories and the family of quantizers. The role of the Heisenberg uncertainty principle in the statement of the criteria for quantum chaos is made explicit.

Affiliated with

Also associated with

No associations

Rating

On the notion of quantum Lyapunov exponent 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 On the notion of quantum Lyapunov exponent, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the notion of quantum Lyapunov exponent will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-313177