A possible deformed algebra and calculus inspired in nonextensive thermostatistics

Details A possible deformed algebra and calculus inspired in nonextensive thermostatistics A possible deformed algebra and calculus inspired in nonextensive thermostatistics

2003-04-24

arxiv.org/abs/cond-mat/0304545v2

Physica A 340, 95--101 (2004)

Physics

Condensed Matter

Statistical Mechanics

7 pages, no figures

Scientific paper

10.1016/j.physa.2004.03.082

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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