Noncommutative Markov chains associated to a preassigned evolution: an application to the quantum theory of measurement

DOI10.1016/0001-8708(78)90012-9zbMath0385.60087OpenAlexW1964336954MaRDI QIDQ1249387

Luigi Accardi

Publication date: 1978

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0001-8708(78)90012-9

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Noncommutative probability and statistics (46L53) Quantum measurement theory, state operations, state preparations (81P15)

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Cites Work

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• Nonrelativistic quantum mechanics as a noncommutative Markov process
• The noncommutative Markovian property
• \(C^*\)-algebras and \(W^*\)-algebras.
• Transformations of states in operator theory and dynamics
• Characterizations of conditional expectation as a transformation on function spaces
• On the projection of norm one in $W^ *$-algebras
• On Projection Maps of von Neumann Algebras.