q-generalization of quantum phase-space representations

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...

Full description

Saved in:
Bibliographic Details
Published inPhysica A Vol. 423; pp. 97 - 107
Main Authors Pennini, F., Ferri, G.L., Plastino, A.
Format Journal Article
LanguageEnglish
Published Elsevier B.V 01.04.2015
Subjects
[formula omitted]-function
Husimi function
Phase space representations
Wigner function
Husimi function
Wigner function
Phase space representations
P-function
Online AccessGet full text

Cover

More Information
Summary: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. •Usual quantum phase space representations are generalized to a nonextensive environment.•Analytical expressions for Wigner functions, Husimi functions, and P-ones are obtained.•The behavior of the concomitant Tsallis entropy is investigated.
ISSN:0378-4371
1873-2119
DOI:10.1016/j.physa.2014.12.033