Published September 13, 2002 | Version v1
Journal article

Zeno dynamics of von Neumann algebras

  • 1. Fachbereich Mathematik, Johann Wolfgang Goethe-Universitaet, Frankfurt (Germany)

Description

The dynamical quantum Zeno effect is studied in the context of von Neumann algebras. We identify a localized subalgebra on which the Zeno dynamics acts by automorphisms. The Zeno dynamics coincides with the modular dynamics of that subalgebra, if an additional assumption is satisfied. 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. (author)

Availability note (English)

Available online at the Web site for the Journal of Physics. A, Mathematical and General (ISSN 4361-6447) http://www.iop.org/

Additional details

Publishing Information

Journal Title
Journal of Physics. A, Mathematical and General
Journal Volume
35
Journal Issue
36
Journal Page Range
p. 7817-7825
ISSN
0305-4470

INIS

Country of Publication
United Kingdom
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
33048488
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
ALGEBRA; CALCULATION METHODS; DYNAMICS; QUANTUM MECHANICS; QUANTUM OPERATORS
Descriptors DEC
MATHEMATICAL OPERATORS; MATHEMATICS; MECHANICS