A possible deformed algebra and calculus inspired in nonextensive thermostatistics

Ernesto P. Borges

Physica A: Statistical Mechanics and its Applications, 2004, vol. 340, issue 1, 95-101

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 statistical mechanics; q-Algebra; q-Calculus (search for similar items in EconPapers)
Date: 2004
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Citations: View citations in EconPapers (32)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:340:y:2004:i:1:p:95-101

DOI: 10.1016/j.physa.2004.03.082

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