Continuous limit of discrete sawtooth maps and its algebraic framework

2004/07/31 by Fabio Benatti, Valerio Cappellini · 2 citations
Mathematics · Physics and Astronomy · #Quantum Mechanics and Non-Hermitian Physics #Quantum chaos and dynamical systems #Quantum many-body systems #math-ph #math.MP #msc:37D20 #msc:46L99 #msc:81Q20 #msc:81R30 #quant-ph

paper · pdf · doi:10.1063/1.1917283

published as J. Math. Phys. 46(6), 062702 (2005) · LaTeX, 45 pages, 5 figures. Small changes in the content, references added. To appear in J. Math. Phys

openalex publication_date 2005/05/17 · arxiv created 2005/07/22 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

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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• Quantum dynamical entropies for discrete classical systems: a comparison
• An Estimation of the Logarithmic Timescale in Ergodic Dynamics

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