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.
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