Quantum observable generalized orthoalgebras

DOI10.1007/S11117-019-00698-WzbMath1440.81040arXiv1508.07386OpenAlexW2968063730MaRDI QIDQ2188365

Junde Wu, Zhe Liu, Qiang Lei, Weihua Liu

Publication date: 10 June 2020

Published in: Positivity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1508.07386

zbMATH Keywords

orderself-adjoint operatorquantum observablegeneralized orthoalgebra

Mathematics Subject Classification ID

Linearly ordered topological spaces, generalized ordered spaces, and partially ordered spaces (54F05) General theory of von Neumann algebras (46L10) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Logical foundations of quantum mechanics; quantum logic (quantum-theoretic aspects) (81P10) Quantum logic (03G12)

Cites Work

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• Filters and supports in orthoalgebras
• The Heisenberg relation -- mathematical formulations
• On supremum of bounded quantum observable
• Spectral representation of infimum of bounded quantum observables
• AN AXIOMATIZATION FOR ABELIAN RELATIVE INVERSES
• Reflexivity of Murray-von Neumann algebras

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