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 
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. 
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Metadaten
Author:Andreas U. Schmidt
URN:urn:nbn:de:hebis:30-11341
ISSN:1751-8121
ISSN:1361-6447
ISSN:0305-4470
Parent Title (English):Journal of physics A
Document Type:Article
Language:English
Date of Publication (online):2005/06/21
Year of first Publication:2002
Publishing Institution:Univ.-Bibliothek Frankfurt am Main
Release Date:2005/06/21
Tag:Quantum Zeno effect; modular group; von Neumann algebra
Volume:35
Pagenumber:9
First Page:7817
Last Page:7825
Source:http://www.math.uni-frankfurt.de/~aschmidt/#eprints
HeBIS PPN:35866358X
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

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