A note on the q-deformation-theoretic aspect of the generalized entropies in nonextensive physics

被引：245

作者：

Abe, S

机构：

[1] College of Science and Technology, Nihon University, Funabashi

来源：

PHYSICS LETTERS A | 1997年 / 224卷 / 06期

关键词：

D O I：

10.1016/S0375-9601(96)00832-8

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We show that a connection between the generalized entropy and theory of quantum groups, recently pointed out by Tsallis [Phys. Lett. A 195 (1994) 329], can naturally be understood in the framework of q-calculus. We present a new entropy which has q <----> q(-1) invariance and discuss its basic properties.

引用

页码：326 / 330

页数：5

共 32 条

[1] FRACTAL RANDOM-WALKS FROM A VARIATIONAL FORMALISM FOR TSALLIS ENTROPIES
ALEMANY, PA
ZANETTE, DH
[J]. PHYSICAL REVIEW E, 1994, 49 (02): : R956 - R958
[2] THE QUANTUM GROUP SUQ(2) AND A Q-ANALOGUE OF THE BOSON OPERATORS
BIEDENHARN, LC
[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1989, 22 (18): : L873 - L878
[3] A Q-ANALOG OF BARGMANN SPACE AND ITS SCALAR PRODUCT
BRACKEN, AJ
MCANALLY, DS
ZHANG, RB
GOULD, MD
[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1991, 24 (07): : 1379 - 1391
[4] BRILLOUIN L, 1956, SCI INFORMATION THEO
[5] GENERALIZED INFORMATION FUNCTIONS
DAROCZY, Z
[J]. INFORMATION AND CONTROL, 1970, 16 (01): : 36 - &
[6] QUANTUM-MECHANICS ON A LATTICE AND Q-DEFORMATIONS
DIMAKIS, A
MULLERHOISSEN, F
[J]. PHYSICS LETTERS B, 1992, 295 (3-4) : 242 - 248
[7] DRINFELD VG, 1985, DOKL AKAD NAUK SSSR, V32, P254
[8] Hardy G.H., 1952, INEQUALITIES
[9] Jackson F. H., 1910, Quart. J. Appl. Math., V41, P193, DOI DOI 10.1017/S0080456800002751
[10] JACKSON FH, 1909, MESSENGER MATH, V38, P57

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