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Characterizing Entropy in Statistical Physics and in Quantum Information Theory

Autor(en)
Bernhard Baumgartner
Abstrakt

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.

Organisation(en)
Mathematische Physik
Journal
Foundations of Physics
Band
44
Seiten
1107-1123
Anzahl der Seiten
17
ISSN
0015-9018
DOI
https://doi.org/10.1007/s10701-014-9832-y
Publikationsdatum
10-2014
Peer-reviewed
Ja
ÖFOS 2012
103025 Quantenmechanik, 103029 Statistische Physik
Schlagwörter
ASJC Scopus Sachgebiete
Allgemeine Physik und Astronomie
Link zum Portal
https://ucrisportal.univie.ac.at/de/publications/67a3fe13-fe4b-4a64-bd66-2d7803936fa9