Symmetry and history quantum theory: An analog of Wigner’s theorem

DOI10.1063/1.531765zbMath0883.46050arXivgr-qc/9607051OpenAlexW2034324784MaRDI QIDQ5284677

Stephan Schreckenberg

Publication date: 23 March 1998

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

Full work available at URL: https://arxiv.org/abs/gr-qc/9607051

zbMATH Keywords

von Neumann algebraconsistent historiesdecoherence functionalsphysical symmetryGleason's Theoremhistory propositionshomogeneous symmetry

Mathematics Subject Classification ID

General and philosophical questions in quantum theory (81P05) Applications of functional analysis in quantum physics (46N50)

Related Items (5)

Symmetries of decoherence functionals ⋮ Perturbation of the Wigner equation in inner product C*-modules ⋮ On tracial operator representations of quantum decoherence functionals ⋮ Continuous-time histories: Observables, probabilities, phase space structure and the classical limit ⋮ Symmetries of history quantum theories and decoherence functionals

Cites Work

• Consistent histories and the interpretation of quantum mechanics
• Logical reformulation of quantum mechanics. I: Foundations
• On the consistent histories approach to quantum mechanics.
• 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
• Completeness of decoherence functionals
• Continuous histories and the history group in generalized quantum theory
• The structure of decoherence functionals for von Neumann quantum histories

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