Characterization of quantum logics

DOI10.1007/BF00671482zbMath0473.03055MaRDI QIDQ1158423

Pekka J. Lahti

Publication date: 1980

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

zbMATH Keywords

superposition principleuncertainty principlecomplementary principleproposition state

Mathematics Subject Classification ID

Logical foundations of quantum mechanics; quantum logic (quantum-theoretic aspects) (81P10) Spaces of measures (46E27) Quantum logic (03G12) Stochastic mechanics (including stochastic electrodynamics) (81P20) Inner product spaces and their generalizations, Hilbert spaces (46C99)

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Spooky action-at-a-distance in general probabilistic theories, Quantum probabilities as Dempster-Shafer probabilities in the lattice of subspaces, Bibliography on quantum logics and related structures, Unnamed Item, Möbius operators and non-additive quantum probabilities in the Birkhoff-von Neumann lattice, Intuitionistic quantum logic of an \(n\)-level system, Detection of incompatible properties in a double-slit experiment, Incompatibility of observables, channels and instruments in information theories

Cites Work

• Ideal, first-kind measurements in a proposition-state structure
• On state transformations induced by yes-no experiments, in the context of quantum logic
• Quantifiers and orthomodular lattices
• Baer \(^ *\)-semigroups and the logic of quantum mechanics
• Semimodularity and the logic of quantum mechanics
• Theory of filters
• The operational approach to algebraic quantum theory. I
• An operational approach to quantum probability
• Description of physical systems
• Can Quantum-Mechanical Description of Physical Reality be Considered Complete?
• The Intrinsic Parity of Elementary Particles
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