A mathematical condition for a sublattice of a propositional system to represent a physical subsystem, with a physical interpretation

DOI10.1007/BF00959534zbMath0451.03026OpenAlexW2035855594WikidataQ58147674 ScholiaQ58147674MaRDI QIDQ1147699

Ingrid Daubechies, Diederik Aerts

Publication date: 1979

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

Full work available at URL: https://doi.org/10.1007/bf00959534

zbMATH Keywords

complete orthomodular latticepropositional systemsideal measurements of the first kindphysical subsystem

Mathematics Subject Classification ID

Other nonclassical logic (03B60) Complemented lattices, orthocomplemented lattices and posets (06C15) Logical foundations of quantum mechanics; quantum logic (quantum-theoretic aspects) (81P10) Quantum logic (03G12) Complemented modular lattices, continuous geometries (06C20)

Related Items (9)

Tensors in computations ⋮ Representation of state property systems ⋮ A discussion on the origin of quantum probabilities ⋮ On the Connection Between Quantum Probability and Geometry ⋮ On the lattice structure of probability spaces in quantum mechanics ⋮ Bibliography on quantum logics and related structures ⋮ A formal framework for the study of the notion of undefined particle number in quantum mechanics ⋮ A quantum logical and geometrical approach to the study of improper mixtures ⋮ Physical properties as modal operators in the topos approach to quantum mechanics

Cites Work

• The role of the modular pairs in the category of complete orthomodular lattice
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