A possible deformed algebra and calculus inspired in nonextensive thermostatistics

被引：293

作者：

Borges, EP

机构：

[1] Univ Fed Bahia, Escola Politecn, BR-40210630 Salvador, BA, Brazil

[2] Ctr Brasileiro Pesquisas Fis, BR-22290180 Rio De Janeiro, Brazil

来源：

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 2004年 / 340卷 / 1-3期

关键词：

nonextensive statistical mechanics; q-algebra; q-calculus;

D O I：

10.1016/j.physa.2004.03.082

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

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. (C) 2004 Elsevier B.V. All rights reserved.

引用

页码：95 / 101

页数：7

共 23 条

[1]

Abe S, 2003, SCIENCE, V300, P249

[2] A note on the q-deformation-theoretic aspect of the generalized entropies in nonextensive physics [J].