q-generalization of quantum phase-space representations

F. Pennini, G.L. Ferri and A. Plastino

Physica A: Statistical Mechanics and its Applications, 2015, vol. 423, issue C, 97-107

Abstract: We generate a family of phase space, thermal coherent-state’s representations, within the framework of Tsallis’ Generalized Statistical Mechanics and study their properties. Our protagonists are q-gaussian distributions. We obtain analytical expressions for the most important representations, namely, the P-, Husimi-, and Wigner ones. The behavior of the associated Tsallis entropy is investigated. It is shown that q-values close to two provide the best performance.

Keywords: Phase space representations; P-function; Husimi function; Wigner function (search for similar items in EconPapers)
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:423:y:2015:i:c:p:97-107

DOI: 10.1016/j.physa.2014.12.033

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