An explicit expression of supremum of bounded quantum observables

DOI10.1063/1.3075826zbMath1202.81014OpenAlexW1967999214MaRDI QIDQ3650474

Hong-Ke Du, Xiao-Ming Xu, Xiao Chun Fang

Publication date: 14 December 2009

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

Full work available at URL: https://doi.org/10.1063/1.3075826

zbMATH Keywords

quantum theoryHilbert spacesmathematical operators

Mathematics Subject Classification ID

Applications of operator theory in the physical sciences (47N50) Quantum measurement theory, state operations, state preparations (81P15) Operator algebra methods applied to problems in quantum theory (81R15)

Related Items (10)

The logic order on a generalized Hermitian algebra ⋮ The supremum of linear operators for the *-order ⋮ Star partial order on \(\mathcal{B}_{Id}(\mathcal{H})\) ⋮ Spectral representation of infimum of bounded quantum observables ⋮ A note on the logic of bounded quantum observables ⋮ Further Remarks on an Order for Quantum Observables ⋮ On supremum of bounded quantum observable ⋮ On the infimum of bounded quantum observables ⋮ On the supremum and infimum of bounded quantum observables ⋮ Some relations of projection and star order in Hilbert space

Cites Work

• Removable singularities for solutions of coupled Yang-Mills-Dirac equations
• Lattice properties of quantum effects
• Remarks on the order for quantum observables
• A representation theorem of infimum of bounded quantum observables
• Two Subspaces
• Order Properties of Bounded Self-Adjoint Operators

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