Nonlinear Sciences – Chaotic Dynamics
Scientific paper
2001-03-20
Phys. Review E 63, 066220 2001
Nonlinear Sciences
Chaotic Dynamics
9 pages, 8 Postscript figures (low resolution). For high resolution versions of figs http://www.tandar.cnea.gov.ar/~wisniack/
Scientific paper
10.1103/PhysRevE.63.066220
In this paper we study in detail the localized wave functions defined in Phys. Rev. Lett. {\bf 76}, 1613 (1994), in connection with the scarring effect of unstable periodic orbits in highly chaotic Hamiltonian system. These functions appear highly localized not only along periodic orbits but also on the associated manifolds. Moreover, they show in phase space the hyperbolic structure in the vicinity of the orbit, something which translates in configuration space into the structure induced by the corresponding self--focal points. On the other hand, the quantum dynamics of these functions are also studied. Our results indicate that the probability density first evolves along the unstable manifold emanating from the periodic orbit, and localizes temporarily afterwards on only a few, short related periodic orbits. We believe that this type of studies can provide some keys to disentangle the complexity associated to the quantum mechanics of these kind of systems, which permits the construction of a simple explanation in terms of the dynamics of a few classical structures.
Benito R. M.
Borondo F.
Vergini Eduardo
Wisniacki Diego. A.
No associations
LandOfFree
Localization properties of groups of eigenstates in chaotic systems 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 Localization properties of groups of eigenstates in chaotic systems, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Localization properties of groups of eigenstates in chaotic systems will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-1994