Jauch–Piron states on quantum logics

DOI10.1142/S0219498820500176zbMath1454.06005OpenAlexW2906391406WikidataQ114614753 ScholiaQ114614753MaRDI QIDQ4960494

Michal Hroch, Pavel Pták

Publication date: 23 April 2020

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498820500176

zbMATH Keywords

Boolean algebraorthomodular latticequantum logicJauch-Piron stateextension of a state

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)

Cites Work

• Characterization of Boolean algebras in terms of certain states of Jauch-Piron type
• Varieties of orthomodular lattices related to states
• Orthomodular structures as quantum logics. Transl. from the Slovak
• A characterization of state spaces of orthomodular lattices
• Concrete quantum logics
• Jauch-Piron states on concrete quantum logics
• Enlargements of quantum logics
• Orthomodular lattices admitting no states
• QUANTUM LOGICS WITH JAUCH–PIRON STATES
• VARIETIES OF ORTHOMODULAR LATTICES WITH A STRONGLY FULL SET OF STATES
• Jauch–Piron states
• Quantum measure theory
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