Characterizing Entropy in Statistical Physics and in Quantum Information Theory

被引：0
|
作者：
Bernhard Baumgartner
机构：
[1] Universität Wien,Institut für Theoretische Physik
来源：
Foundations of Physics | 2014年 / 44卷
关键词：
Entropy; Axiomatic; Information; Large numbers; 94A17;
D O I：
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学科分类号：
摘要：
A new axiomatic characterization with a minimum of conditions for entropy as a function on the set of states in quantum mechanics is presented. Traditionally unspoken assumptions are unveiled and replaced by proven consequences of the axioms. First the Boltzmann–Planck formula is derived. Building on this formula, using the Law of Large Numbers—a basic theorem of probability theory—the von Neumann formula is deduced. Axioms used in older theories on the foundations are now derived facts.
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页码：1107 / 1123
页数：16
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