Symmetries of history quantum theories and decoherence functionals

DOI10.1063/1.532598zbMath0935.81006OpenAlexW2041900801MaRDI QIDQ4701523

Oliver Rudolph

Publication date: 21 November 1999

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

Full work available at URL: https://doi.org/10.1063/1.532598

zbMATH Keywords

symmetriesprojectorsdecoherence functionalsinfinite dimensionalhistory quantum theories

Mathematics Subject Classification ID

General and philosophical questions in quantum theory (81P05) Quantum measurement theory, state operations, state preparations (81P15) Applications of functional analysis in quantum physics (46N50)

Cites Work

• Consistent histories and the interpretation of quantum mechanics
• Decoherence functionals for von Neumann quantum histories: Boundedness and countable additivity
• Topos theory and consistent histories: The internal logic of the set of all consistent sets
• Difference posets and the histories approach to quantum theories
• Consistent histories and operational quantum theory
• Continuous time and consistent histories
• Quantum logic and the histories approach to quantum theory
• Quantum temporal logic and decoherence functionals in the histories approach to generalized quantum theory
• Symmetries of decoherence functionals
• On tracial operator representations of quantum decoherence functionals
• On the consistent effect histories approach to quantum mechanics
• The classification of decoherence functionals: An analog of Gleason’s theorem
• Completeness of decoherence functionals
• Continuous histories and the history group in generalized quantum theory
• The structure of decoherence functionals for von Neumann quantum histories
• Symmetry and history quantum theory: An analog of Wigner’s theorem
• Note on Wigner's Theorem on Symmetry Operations

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