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