Spectral representation of infimum of bounded quantum observables

DOI10.1063/1.3253609zbMath1214.81033arXiv0906.1028OpenAlexW1999024462MaRDI QIDQ3583699

Junde Wu, Jun Shen

Publication date: 17 August 2010

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

Full work available at URL: https://arxiv.org/abs/0906.1028

zbMATH Keywords

quantum theoryHilbert spacesset theory

Mathematics Subject Classification ID

Applications of operator theory in the physical sciences (47N50) Spectrum, resolvent (47A10) Quantum measurement theory, state operations, state preparations (81P15) Logical foundations of quantum mechanics; quantum logic (quantum-theoretic aspects) (81P10) Quantum logic (03G12)

Related Items (3)

Quantum observable generalized orthoalgebras ⋮ On the infimum of bounded quantum observables ⋮ On the supremum and infimum of bounded quantum observables

Cites Work

• On the infimum problem of Hilbert space effects
• Infima of Hilbert space effects
• On supremum of bounded quantum observable
• An explicit expression of supremum of bounded quantum observables
• Lattice properties of quantum effects
• Remarks on the order for quantum observables
• A representation theorem of infimum of bounded quantum observables
• Order Properties of Bounded Self-Adjoint Operators

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