A possible deformed algebra and calculus inspired in nonextensive thermostatistics

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.

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Year of publication:	2004
Authors:	Borges, Ernesto P.
Published in:	Physica A: Statistical Mechanics and its Applications. - Elsevier, ISSN 0378-4371. - Vol. 340.2004, 1, p. 95-101
Publisher:	Elsevier
Subject:	Nonextensive statistical mechanics \| q-Algebra \| q-Calculus

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10010588786