Statistics in the Propositional Formulation of Quantum Mechanics

1993/05/07 by Dan Radu Grigore
Physics and Astronomy · #hep-th

paper · pdf

published as Helv.Phys.Acta 66 (1993) 477-497 · 24 pages, PLAIN-TEX

arxiv created 1993/05/07 · arxiv updated 2009/11/30

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).

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