Effects, Observables, States, and Symmetries in Physics

Foundations of Physics 37 (10):1421-1446 (2007)
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Abstract

We show how effect algebras arise in physics and how they can be used to tie together the observables, states and symmetries employed in the study of physical systems. We introduce and study the unifying notion of an effect-observable-state-symmetry-system (EOSS-system) and give both classical and quantum-mechanical examples of EOSS-systems

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10.1007/s10701-007-9170-4

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Citations of this work

Non-commutative logical algebras and algebraic quantales.Wolfgang Rump & Yi Chuan Yang - 2014 - Annals of Pure and Applied Logic 165 (2):759-785.
L -effect Algebras.Wolfgang Rump & Xia Zhang - 2020 - Studia Logica 108 (4):725-750.
Multi-posets in algebraic logic, group theory, and non-commutative topology.Wolfgang Rump - 2016 - Annals of Pure and Applied Logic 167 (11):1139-1160.

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References found in this work

Effect algebras and unsharp quantum logics.D. J. Foulis & M. K. Bennett - 1994 - Foundations of Physics 24 (10):1331-1352.
Lectures on Boolean Algebras.Paul R. Halmos - 1966 - Journal of Symbolic Logic 31 (2):253-254.
Fuzzy Sets.Lofti A. Zadeh - 1965 - Information and Control 8 (1):338--53.

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