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arXiv · 1206.5727

Characterizing Entropy in Statistical Physics and in Quantum Information Theory

Bernhard Baumgartner
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Abstract

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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Bernhard Baumgartner. 2014-07-01. Characterizing Entropy in Statistical Physics and in Quantum Information Theory. https://arxiv.org/abs/1206.5727

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