Jauch–Piron states in W*-algebraic quantum mechanics

DOI10.1063/1.527775zbMath0637.46074OpenAlexW2002327467MaRDI QIDQ3776901

Anton Amann

Publication date: 1987

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.527775

zbMATH Keywords

stateprojection latticecompatibility condition between the algebraic and the lattice-theoretic approach for the description of physical systemsJauch-Piron conditionpure Jauch-Piron statessingular states on factorsW *-algebraW *-algebraic quantum mechanics

Mathematics Subject Classification ID

Applications of selfadjoint operator algebras to physics (46L60) Logical foundations of quantum mechanics; quantum logic (quantum-theoretic aspects) (81P10) Miscellaneous applications of functional analysis (46N99)

Related Items (13)

States on projection logics of von Neumann algebras ⋮ Jauch-Piron property (everywhere!) in the logicoalgebraic foundation of quantum theories ⋮ JAUCH–PIRON STATES AND σ-ADDITIVITY ⋮ Robustness in quantum measurements ⋮ Extension properties of states on operator algebras ⋮ Characterization of Boolean algebras in terms of certain states of Jauch-Piron type ⋮ Extension of Jauch–Piron states on Jordan algebras ⋮ Unnamed Item ⋮ Bibliography on quantum logics and related structures ⋮ Global quantities in algebraic quantum mechanics of infinite systems: Classical observables or parameters? ⋮ Countably Additive Homomorphisms between von Neumann Algebras ⋮ Jauch-Piron states on concrete quantum logics ⋮ Jauch-Piron states on von Neumann algebras

Cites Work

• Jauch–Piron states
• When can hidden variables be excluded in quantum mechanics?

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