From the Tsallis unnormalized (or Tsallis-2) statistical mechanical formulation, B\"{u}y\"{u}kkili\c{c} {\it et al.} [Phys. Lett. A 197, 209 (1995)] derived expressions for single-particle distribution functions (known as phenomenological distributions) particles obeying Maxwell-Boltzmann, Bose-Einstein and Fermi-Dirac statistics using factorization approximation. In spite of fact that this pap...

This paper investigates whether the framework of fractional quantum mechanics can broaden our perspective black hole thermodynamics. Concretely, we employ a {\it space-fractional} derivative \cite{Rie} as main tool. Moreover, restrict analysis to case Schwarzschild configuration. From subsequently modified Wheeler-DeWitt equation, retrieve corresponding expressions for specific observables. Nam...

Tsallis et al. proposed these distributions to handle statistical-mechanical systems with long-range interactions, necessitating (it is claimed) a non-extensive generalization of the ordinary Gibbs-Shannon entropy. Following Jaynes’s procedure of maximizing an entropy subject to constraints on expectation values [2], they got the q-exponential distributions, in which κ enforces the constraints,...