Implications of form invariance to the structure of nonextensive entropies

被引：90

作者：

Rajagopal, AK ^{[1
]}

Abe, S

机构：

[1] USN, Res Lab, Washington, DC 20375 USA

[2] Nihon Univ, Coll Sci & Technol, Chiba 2748501, Japan

来源：

PHYSICAL REVIEW LETTERS | 1999年 / 83卷 / 09期

关键词：

D O I：

10.1103/PhysRevLett.83.1711

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The form invariance of the statement of the maximum entropy principle and the metric structure in quantum density matrix theory, when generalized to nonextensive situations, is shown here to determine the structure of the nonextensive entropies. This limits the range of the nonextensivity parameter q to (0, 1) so as to pr-serve the concavity of the entropies. The Tsallis entropy is thereby found to be appropriately renormalized.

引用

页码：1711 / 1714

页数：4

共 35 条

[1] The thermal Green functions in nonextensive quantum statistical mechanics [J].