Quantum Dynamical Entropies and Complexity in Dynamical Systems

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dc.creatorCappellini, Valerio
dc.date2004-03-18
dc.date.accessioned2026-07-07T04:31:01Z
dc.date.available2026-07-07T04:31:01Z
dc.descriptionWe analyze the behaviour of two quantum dynamical entropies in connection with the classical limit. Using strongly chaotic classical dynamical systems as models (Arnold Cat Maps and Sawtooth Maps), we also propose a discretization procedure that resembles quantization; even in this case, studies of quantum dynamical entropy production are carried out and the connection with the continuous limit is explored. In both case (quantization and discretization) the entropy production converge to the Kolmogorov-Sinai invariant on time-scales that are logarithmic in the quantization (discretization) parameter.
dc.descriptionPh.D. thesis, LaTeX, 138 pages, 12 figures
dc.identifierhttps://arxiv.org/abs/math-ph/0403035
dc.identifierhttp://arxiv.org/abs/math-ph/0403035
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/57674
dc.subjectMathematical Physics
dc.subjectDynamical Systems
dc.subjectQuantum Physics
dc.subject28D20, 28D99, 37A99, 37D99, 46L99, 65P20, 81Q99
dc.titleQuantum Dynamical Entropies and Complexity in Dynamical Systems
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