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Advances in Mathematical PhysicsVolume 2011 2011, Article ID 625978, 16 pages

Research Article

Faculty of Physics, University of Bielefeld, Universitätsstraβe 25, 33615 Bielefeld, Germany

Bundesamt für Strahlenschutz Federal Office for Radiation Protection, Willy-Brandt-Straße 5, 38226 Salzgitter, Germany

Received 22 June 2011; Accepted 31 August 2011

Academic Editor: Christian Maes

Copyright © 2011 Mario Hellmich. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We prove a version of the Jacobs-de Leeuw-Glicksberg splitting theorem for weak* continuous one-parameter semigroups on dual Banach spaces. This result is applied to give sufficient conditions for a quantum dynamical semigroup to display decoherence. The underlying notion of decoherence is that introduced by Blanchard and Olkiewicz 2003. We discuss this notion in some detail.





Author: Mario Hellmich

Source: https://www.hindawi.com/



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