Symmetries of decoherence functionals

DOI10.1063/1.531889zbMath0883.46051arXivgr-qc/9607050OpenAlexW2015308641MaRDI QIDQ4338346

Stephan Schreckenberg

Publication date: 1 March 1998

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

Full work available at URL: https://arxiv.org/abs/gr-qc/9607050

zbMATH Keywords

quantum theoryconsistent historiesdecoherence functionalscomplete orthomodular latticeGleason's Theoremhistory propositionsunitary or antiunitary operatorvon Neumann algebra of linear operators

Mathematics Subject Classification ID

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

Related Items (5)

Poincaré invariance for continuous-time histories ⋮ Quantum fields in nonstatic background: A histories perspective ⋮ On tracial operator representations of quantum decoherence functionals ⋮ Symmetries and conservation laws in histories-based theories. ⋮ 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
• Quantum logic and the histories approach to 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
• Symmetry and history quantum theory: An analog of Wigner’s theorem

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