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.

Metadaten
Author:	Andreas U. Schmidt GND
URN:	urn:nbn:de:hebis:30-11341
ISSN:	1751-8121
ISSN:	1361-6447
ISSN:	0305-4470
Document Type:	Article
Language:	English
Year of Completion:	2002
Date of first Publication:	2002/08/17
Publishing Institution:	Universitätsbibliothek Johann Christian Senckenberg
Release Date:	2005/06/21
Tag:	Quantum Zeno effect; modular group; von Neumann algebra
Page Number:	9
First Page:	1
Last Page:	9
Note:	Erschienen in: Journal of physics. A, Mathematical and general, 35.2002, S. 7817-7825
Source:	http://www.math.uni-frankfurt.de/~aschmidt/#eprints
HeBIS-PPN:	35866358X
Institutes:	Informatik und Mathematik / Mathematik
Dewey Decimal Classification:	5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik
MSC-Classification:	46-XX FUNCTIONAL ANALYSIS (For manifolds modeled on topological linear spaces, see 57Nxx, 58Bxx) / 46Lxx Selfadjoint operator algebras (C-algebras, von Neumann (W-) algebras, etc.) [See also 22D25, 47Lxx] / 46L60 Applications of selfadjoint operator algebras to physics [See also 46N50, 46N55, 47L90, 81T05, 82B10, 82C10]
	81-XX QUANTUM THEORY / 81Pxx Axiomatics, foundations, philosophy / 81P15 Quantum measurement theory
	81-XX QUANTUM THEORY / 81Rxx Groups and algebras in quantum theory / 81R15 Operator algebra methods [See also 46Lxx, 81T05]
Licence (German):	Deutsches Urheberrecht

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