Continuous Limit of Discrete Sawtooth Maps and its Algebraic Framework

Details Continuous Limit of Discrete Sawtooth Maps and its Algebraic Framework Continuous Limit of Discrete Sawtooth Maps and its Algebraic Framework

2004-07-29

arxiv.org/abs/math-ph/0407075v3

J. Math. Phys. 46(6), 062702 (2005)

Physics

Mathematical Physics

LaTeX, 45 pages, 5 figures. Small changes in the content, references added. To appear in J. Math. Phys

Scientific paper

10.1063/1.1917283

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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