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arXiv quant-ph/9904029quant-phcond-mat.stat-mech
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形式不变性对非广延熵结构的意义

Implications of Form Invariance to the Structure of Nonextensive Entropies

A. K. Rajagopal, Sumiyoshi Abe

摘要:

本文证明了量子密度矩阵理论中的最大熵原理和度规结构的形式不变性,当推广到非广延情形时,可以确定非广延熵的结构。这限制了非扩展性参数的范围,以保持熵的稳定性。因此,Tsallis熵被发现是适当的重整化。

英文摘要:

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 to so as to preserve the concavity of the entropies. The Tsallis entropy is thereby found to be appropriately renormalized.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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