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A possible deformed algebra and calculus inspired in nonextensive thermostatistics

Ernesto P. Borges
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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.

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BibTeXRIS

Ernesto P. Borges. 2004-08-14. A possible deformed algebra and calculus inspired in nonextensive thermostatistics. https://doi.org/10.1016/j.physa.2004.03.082

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