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.

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Author:Andreas U. SchmidtGND
Document Type:Article
Year of Completion:2002
Date of first Publication:2002/08/17
Publishing Institution:Universit├Ątsbibliothek 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
Erschienen in: Journal of physics. A, Mathematical and general, 35.2002, S. 7817-7825
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):License LogoDeutsches Urheberrecht