A unified framework for the algebra of unsharp quantum mechanics

DOI10.1007/BF02435730zbMath0898.03022OpenAlexW2011168879MaRDI QIDQ1388203

Gianpiero Cattaneo

Publication date: 20 October 1998

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

Full work available at URL: https://doi.org/10.1007/bf02435730

zbMATH Keywords

Hilbert spaceobservablefuzzy setmeasurable spacestateorthogonalityclosed subspaceeffect operatorsharp elementssum Brouwer-Zadeh algebraunsharp algebrasunsharp elements

Mathematics Subject Classification ID

Complemented lattices, orthocomplemented lattices and posets (06C15) Logical foundations of quantum mechanics; quantum logic (quantum-theoretic aspects) (81P10) Quantum logic (03G12)

Related Items (6)

Musings about the triple representation theorem for effect algebras ⋮ More about sharp and meager elements in Archimedean atomic lattice effect algebras ⋮ Triple representation theorem for orthocomplete homogeneous effect algebras ⋮ Algebraic models of deviant modal operators based on De Morgan and Kleene lattices ⋮ Sharp and meager elements in orthocomplete homogeneous effect algebras ⋮ The block structure of complete lattice ordered effect algebras

Cites Work

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• Effect algebras and unsharp quantum logics.
• Rough sets and fuzzy sets
• Non-usual orthocomplementations on partially ordered sets and fuzziness
• Filters and supports in orthoalgebras
• Brouwer-Zadeh posets and three-valued Łukasiewicz posets
• Quasilinear QMV algebras
• Rough sets
• Boolean elements in Lukasiewicz algebras, II

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