Continuous Limit of Discrete Sawtooth Maps and its Algebraic Framework
Mathematical Physics
2007-05-23 v3 math.MP
Quantum Physics
Abstract
We study the presence of a logarithmic time scale in discrete approximations of Sawtooth Maps on the 2--torus. The techniques used are suggested by quantum mechanical similarities, and are based on a particular class of states on the torus, that fulfill dynamical localization properties typical of quantum Coherent States.
Cite
@article{arxiv.math-ph/0407075,
title = {Continuous Limit of Discrete Sawtooth Maps and its Algebraic Framework},
author = {Fabio Benatti and Valerio Cappellini},
journal= {arXiv preprint arXiv:math-ph/0407075},
year = {2007}
}
Comments
LaTeX, 45 pages, 5 figures. Small changes in the content, references added. To appear in J. Math. Phys