Delinearization of quantum logic

DOI10.1007/BF00673350zbMath0809.03044OpenAlexW2055763376MaRDI QIDQ1801519

Sławomir Bugajski

Publication date: 7 April 1994

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

Full work available at URL: https://doi.org/10.1007/bf00673350

zbMATH Keywords

statesorthomodular posetorder unit spacebase normed spacedelinearization mappingsharp observables

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 (7)

Fundamentals of fuzzy probability theory ⋮ Topologies on quantum states ⋮ Topologies on pure quantum states ⋮ From the attempt of certain classical reformulations of quantum mechanics to quasi-probability representations ⋮ Unsharp quantum reality ⋮ Aspects of the quantum-classical connection based on statistical maps ⋮ Intrinsic structure of state space of a quantum system

Cites Work

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• What is quantum logic?
• Semantics in Banach spaces
• The geometry of generalized quantum logics
• An algebraic approach to non-classical logics
• Boolean embeddings of orthomodular sets and quantum logic
• Non-commutative spectral theory for affine function spaces on convex sets
• On Non-Commutative Spectral Theory and Jordan Algebras
• Example Related to the Foundations of Quantum Theory

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