On the consistent effect histories approach to quantum mechanics

DOI10.1063/1.531709zbMath0861.03047arXivquant-ph/9605037OpenAlexW2107984039MaRDI QIDQ4716455

Oliver Rudolph

Publication date: 12 May 1997

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

Full work available at URL: https://arxiv.org/abs/quant-ph/9605037

zbMATH Keywords

Boolean algebrabounded linear operatorsprobability measureHilbert tensor productpositive operator-valued measureconsistent historiesdecoherence functionalD-poseteffect operatorPOV measureconsistency functionaleffect historyprojection operators on Hilbert spacespace of finite inhomogeneous histories

Mathematics Subject Classification ID

Characterizations of Hilbert spaces (46C15) Logical foundations of quantum mechanics; quantum logic (quantum-theoretic aspects) (81P10) Quantum logic (03G12)

Related Items (4)

Convex and linear effect algebras ⋮ On tracial operator representations of quantum decoherence functionals ⋮ A histories approach to quantum mechanics ⋮ Symmetries of history quantum theories and decoherence functionals

Cites Work

• Effect algebras and unsharp quantum logics.
• Consistent histories and the interpretation of quantum mechanics
• Logical reformulation of quantum mechanics. I: Foundations
• Difference posets, effects, and quantum measurements
• On the consistent histories approach to quantum mechanics.
• D-test spaces and difference posets
• Difference posets and the histories approach to quantum theories
• Tensor products of \(D\)-posets and \(D\)-test spaces
• Consistent histories and operational quantum theory
• Unified dynamics for microscopic and macroscopic systems
• Über die Wurzeln eines maximalen dissipativen Operators
• The Mackey-Gleason Problem
• The Mackey-Gleason Problem for Vector Measures on Projections in Von Neumann Algebras
• Quantum logic and the histories approach to quantum theory
• Quantum temporal logic and decoherence functionals in the histories approach to generalized quantum theory
• The classification of decoherence functionals: An analog of Gleason’s theorem
• Continuous histories and the history group in generalized quantum theory
• The structure of decoherence functionals for von Neumann quantum histories

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