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Continuous Limit of Discrete Sawtooth Maps and its Algebraic Framework

Fabio Benatti·Valerio Cappellini
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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.

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Fabio Benatti, Valerio Cappellini. 2005-07-22. Continuous Limit of Discrete Sawtooth Maps and its Algebraic Framework. https://doi.org/10.1063/1.1917283

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