Characterizing Entropy in Statistical Physics and in Quantum Information Theory
Mathematical Physics
2014-07-02 v2 math.MP
History and Philosophy of Physics
Quantum Physics
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.
Cite
@article{arxiv.1206.5727,
title = {Characterizing Entropy in Statistical Physics and in Quantum Information Theory},
author = {Bernhard Baumgartner},
journal= {arXiv preprint arXiv:1206.5727},
year = {2014}
}
Comments
21 pages