International Conference

Product Systems and Independence in Quantum Dynamics

at the Alfried Krupp Wissenschaftskolleg Greifswald

March 14 - 18, 2011

  Quantum dynamics, both reversible (i.e., closed quantum systems) and irreversible (i.e., open quantum systems), gives rise to product systems of Hilbert spaces or, more generally, of Hilbert modules. When we consider reversible dynamics that dilates an irreversible dynamics, then the product system of the latter is equal to the product system of the former (or is contained in a unique way). Whenever the dynamics is on a proper subalgebra of the algebra of all bounded operators on a Hilbert space, in particular, when the open system is classical (commutative) it is indispensable that we use Hilbert modules.
  The product system of a reversible dynamics is intimately related to a filtration of subalgebras that are independent in a state or conditionally independent in a conditional expectation of the reversible system. This has been illustrated in many concrete dilations that have been obtained with the help of quantum stochastic calculus. Here the underlying Fock space or module determines the sort of quantum independence underlying the reversible system.
  We wish to bring together experts from quantum dynamics, product systems and quantum independence who have contributed to the general theory or who have studied intriguing examples. As the implications of the tight relationship between product systems and independence have so far been largely neglected, we expect from this conference a strong innovative impulse to this field.

Michael Schürmann, Uwe Franz, Volkmar Liebscher, Michael Skeide
For more information please contact:
Michael Schürmann
Institut für Mathematik und Informatik
Ernst-Moritz-Arndt-Universität Greifswald
Walter-Rathenau-Str. 47
D-17487 Greifswald, Germany
Slides of talks at PSIQD2011 Abstracts (PDF)

Related event:
Spring school Product Systems and Independence in Quantum Dynamics at the Alfried Krupp Wissenschaftskolleg, Greifswald, March 7 - 12, 2011
Previous events:

Ernst-Moritz-Arndt-Universität Greifswald

Institut für Mathematik und Informatik

Division for Algebra and Functional Analytic Applications

Last edited: July 24, 2011