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Tsallis' deformation parameter q quantifies the classical-quantum transition

2008/12/22 by A. M. Kowalski, M. T. Martin, A. Plastino +1 · 1 citation
Physics and Astronomy · #cond-mat.stat-mech

paper · pdf · doi:10.1016/j.physa.2009.01.036

19 pages, 7 figures

arxiv created 2008/12/22 · arxiv updated 2009/12/01

Abstract

We investigate the classical limit of a type of semiclassical evolution, the pertinent system representing the interaction between matter and a given field. On using as a quantifier of the ensuing dynamics Tsallis q-entropy, we encounter that it not only appropriately describes the quantum-classical transition, but that the associated deformation-parameter q itself characterizes the different regimes involved in the process, detecting the most salient fine details of the changeover.

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