Anomalous diffusion and dynamical localization in a parabolic map
Chaotic Dynamics
2013-04-09 v1
Abstract
We study numerically classical and quantum dynamics of a piecewise parabolic area preserving map on a cylinder which emerges from the bounce map of elongated triangular billiards. The classical map exhibits anomalous diffusion. Quantization of the same map results in a system with dynamical localization and pure point spectrum.
Cite
@article{arxiv.nlin/0103001,
title = {Anomalous diffusion and dynamical localization in a parabolic map},
author = {Tomaz Prosen and Marko Znidaric},
journal= {arXiv preprint arXiv:nlin/0103001},
year = {2013}
}
Comments
4 pages in RevTeX (4 ps-figures included)