Die u:cris Detailansicht:
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