An Extension of Classical Measure Theory

DOI10.1137/1026002zbMath0559.28003OpenAlexW1993061409MaRDI QIDQ5185280

Stanley P. Gudder

Publication date: 1984

Published in: SIAM Review (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/1026002

zbMATH Keywords

quantum logics\(\sigma \) -baseadditivity of the integraldeterministic spin modelembedding a generalized measure space into a classical measure spaceHilbert space quantum mechanicsprobability in quantum physics

Mathematics Subject Classification ID

Free probability and free operator algebras (46L54) Noncommutative probability and statistics (46L53) Noncommutative measure and integration (46L51) Logical foundations of quantum mechanics; quantum logic (quantum-theoretic aspects) (81P10) Classical measure theory (28A99)

Related Items (8)

States on systems of sets that are closed under symmetric difference ⋮ Unnamed Item ⋮ Bibliography on quantum logics and related structures ⋮ Observables, states, and symmetries in the context of CB-effect algebras ⋮ Measures on circle coarse-grained systems of sets ⋮ Conditional states and independence in D-posets ⋮ Group-valued measures on coarse-grained quantum logics ⋮ Unnamed Item

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