A possible operational motivation for the orthocomplementation in quantum structures

DOI10.1007/s10701-010-9464-9zbMath1213.81020OpenAlexW2084282770MaRDI QIDQ618790

Bart D'Hooghe

Publication date: 17 January 2011

Published in: Foundations of Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10701-010-9464-9

zbMATH Keywords

orthomodular latticestatefoundations of quantum mechanicsquantum structuresHilbert latticeorthocomplementationGleason's theoremPiron-Solèr theorem

Mathematics Subject Classification ID

Characterizations of Hilbert spaces (46C15) Complemented lattices, orthocomplemented lattices and posets (06C15) Logical foundations of quantum mechanics; quantum logic (quantum-theoretic aspects) (81P10) Hilbert subspaces (= operator ranges); complementation (Aronszajn, de Branges, etc.) (46C07)

Cites Work

• Quantum, classical and intermediate: an illustrative example.
• Representation of state property systems
• Characterization of hilbert spaces by orthomodular spaces
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: A possible operational motivation for the orthocomplementation in quantum structures