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Observables as functions: Antonymous functions

2005/10/13 by Andreas Doering, Doering, Andreas
Mathematics · Physics and Astronomy · #Advanced Operator Algebra Research #Advanced Topics in Algebra #Advanced Topology and Set Theory #math-ph #math.MP #math.OA #quant-ph

paper · pdf · doi:10.48550/arxiv.quant-ph/0510102

16 pages, no figures

arxiv created 2005/10/13 · arxiv updated 2009/12/01

Abstract

Antonymous functions are real-valued functions on the Stone spectrum of a von Neumann algebra R. They correspond to the self-adjoint operators in R, which are interpreted as observables in quantum physics. Antonymous functions turn out to be generalized Gelfand transforms, related to de Groote's observable functions.

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