Zeno Dynamics of von Neumann Algebras

The dynamical quantum Zeno effect is studied in the context of von Neumann algebras. It is shown that the Zeno dynamics coincides with the modular dynamics of a localized subalgebra. This relates the modular operator of that subalgebra to the modular operator of the original algebra by a variant of the Kato--Lie--Trotter product formula. PACS - Klassifikation: 03.65.Xp, 03.65.Db, 02.30.Tb . See the following papers: Schmidt, Andreas U.: "Zeno Dynamics in Quantum Statistical Mechanics" and "Mathematics of the Quantum Zeno Effect" :

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Metadaten
Author:Andreas U. Schmidt
URN:urn:nbn:de:hebis:30-11341
Document Type:Article
Language:English
Date of Publication (online):21.06.2005
Year of first Publication:2002
Publishing Institution:Univ.-Bibliothek Frankfurt am Main
Tag:Quantum Zeno effect; modular group; von Neumann algebra
Source:Version of 17 August 2002. Orig. publ. in Journal of Physics A: Mathematical and General 35 (August 2002) 7817-7825 , http://www.math.uni-frankfurt.de/~aschmidt/#eprints
Institutes:Mathematik
Dewey Decimal Classification:510 Mathematik
MSC-Classification:46L60 Applications of selfadjoint operator algebras to physics [See also 46N50, 46N55, 47L90, 81T05, 82B10, 82C10]
81P15 Quantum measurement theory
81R15 Operator algebra methods [See also 46Lxx, 81T05]
Sammlungen:Universitätspublikationen
Licence (German):License Logo Veröffentlichungsvertrag für Publikationen ohne Print on Demand

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