Characterization of Boolean algebras in terms of certain states of Jauch-Piron type

DOI10.1007/s10773-015-2638-7zbMath1329.81100OpenAlexW2029799092MaRDI QIDQ904497

Milan Matoušek, Pavel Pták

Publication date: 13 January 2016

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

Full work available at URL: https://doi.org/10.1007/s10773-015-2638-7

zbMATH Keywords

Boolean algebraorthomodular latticequantum logicJauch-Piron state

Mathematics Subject Classification ID

Logical foundations of quantum mechanics; quantum logic (quantum-theoretic aspects) (81P10)

Related Items (2)

Weakly Jauch-Piron states in effect algebras ⋮ Jauch–Piron states on quantum logics

Cites Work

• Effect algebras with the maximality property
• Orthomodular structures as quantum logics. Transl. from the Slovak
• Jauch-Piron property (everywhere!) in the logicoalgebraic foundation of quantum theories
• Orthomodular lattices admitting no states
• QUANTUM LOGICS WITH JAUCH–PIRON STATES
• Jauch–Piron states in W*-algebraic quantum mechanics
• Bell inequalities on quantum logics
• Jauch–Piron states
• Some nearly Boolean orthomodular posets
• Quantum measure theory
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