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arXiv cond-mat/0402467cond-mat.stat-mech
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Escort-Husimi分布、Fisher信息与非扩张性

Escort--Husimi distributions, Fisher information and nonextensivity

F. Pennini, A. Plastino

摘要:

我们评估广义信息的措施与Husimi分布,并将它们与Wehrl熵,一方面,与热的不确定性关系,另一方面。护送分配的概念在这样的研究中起着核心作用。从而提供了一个新的解释有关的非扩展性指数$q$的含义。还建立了$q$的物理下限,以及将护送-Cramer-Rao界限转换为热测不准关系的$q$的"状态方程”。

英文摘要:

We evaluate generalized information measures constructed with Husimi distributions and connect them with the Wehrl entropy, on the one hand, and with thermal uncertainty relations, on the other one. The concept of escort distribution plays a central role in such a study. A new interpretation concerning the meaning of the nonextensivity index $q$ is thereby provided. A physical lower bound for $q$ is also established, together with a ``state equation" for $q$ that transforms the escort-Cramer--Rao bound into a thermal uncertainty relation.

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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