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Observables as functions: Antonymous functions

Andreas Doering

quant-pharXiv:quant-ph/0510102

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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