Equations, states, and lattices of infinite-dimensional Hilbert spaces

DOI10.1023/A:1026461417704zbMath0981.81013arXivquant-ph/0009038OpenAlexW2105759889MaRDI QIDQ5928532

Norman D. Megill, Mladen Pavičić

Publication date: 29 March 2001

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

Full work available at URL: https://arxiv.org/abs/quant-ph/0009038

zbMATH Keywords

\(n\)-variable generalized orthoarguesian equationGodowski's resultGreechie diagramsMayet's examplesorthomodularity

Mathematics Subject Classification ID

Semimodular lattices, geometric lattices (06C10) Logical foundations of quantum mechanics; quantum logic (quantum-theoretic aspects) (81P10)

Related Items (6)

Hilbert lattice equations ⋮ Kochen-Specker sets and generalized orthoarguesian equations ⋮ Exhaustive generation of orthomodular lattices with exactly one nonquantum state ⋮ Equations holding in Hilbert lattices ⋮ Asymmetric equivalences in fuzzy logic ⋮ Graph approach to quantum systems

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