Quantum Dynamical Entropies in Discrete Classical Chaos

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We discuss certain analogies between quantization and discretization of classical systems on manifolds. In particular, we will apply the quantum dynamical entropy of Alicki and Fannes to numerically study the footprints of chaos in discretized versions of hyperbolic maps on the torus.
LaTeX, 37 pages, 12 figures; v2: Corrected typos

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Mathematical Physics, Chaotic Dynamics, Quantum Physics, 81Q99, 37D20, 65P20

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http://salesiana.dossiersoluciones.com/handle/123456789/136248

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math-ph/0308033
 http://arxiv.org/abs/math-ph/0308033
 J. Phys. A: Math. Gen., Vol. 37 Num. 1 (9 January 2004) 105-130
 doi:10.1088/0305-4470/37/1/007

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arXiv