A possible deformed algebra and calculus inspired in nonextensive thermostatistics

Preprint

14 August 2004

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.cond-mat/0304545

Abstract

We present a deformed algebra related to the q-exponential and the q-logarithm functions that emerge from nonextensive statistical mechanics. We also develop a q-derivative (and consistently a q-integral) for which the q-exponential is an eigenfunction. The q-derivative and the q-integral have a dual nature, that is also presented.

Keywords

NONEXTENSIVE THERMOSTATISTICS
CALCULUS INSPIRED
THERMOSTATISTICS
DEFORMED ALGEBRA
STATISTICAL
INTEGRAL

All Related Versions

Version 1, 2003-04-24, ArXiv
Version 2, 2004-08-14, ArXiv
Published version: Physica A: Statistical Mechanics and its Applications, 340 (1-3), 95.

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