Statistics in the Propositional Formulation of Quantum Mechanics
High Energy Physics - Theory
2007-05-23 v1
Abstract
We give a definition for the notion of statistics in the lattice-theoretical (or propositional) formulation of quantum mechanics of Birchoff, von Neumann and Piron. We show that this formalism is compatible only with two types of statistics: Bose-Einstein and Fermi-Dirac. Some comments are made about the connection between this result and the existence of exotic statistics (para-statistics, infinite statistics, braid statistics).
Keywords
Cite
@article{arxiv.hep-th/9305044,
title = {Statistics in the Propositional Formulation of Quantum Mechanics},
author = {Dan Radu Grigore},
journal= {arXiv preprint arXiv:hep-th/9305044},
year = {2007}
}
Comments
24 pages, PLAIN-TEX