Communications in Mathematical Physics

, Volume 90, Issue 2, pp 251–262 | Cite as

A Markov dilation of a non-quasifree Bloch evolution

  • B. Kümmerer
  • W. Schröder


We construct a new minimal dilation of a dynamical system governed by a Bloch equation. In contrast to a dilation of the same dynamical system recently obtained by Varilly [13] our dilation satisfies a Markov property. This presents the first example of a Markov dilation for a non-commutative dynamical system which is not equivalent to a quasifree evolution. Furthermore the dilation turns out to be a generalizedK-system.


Neural Network Dynamical System Statistical Physic Complex System Nonlinear Dynamics 
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Copyright information

© Springer-Verlag 1983

Authors and Affiliations

  • B. Kümmerer
    • 1
  • W. Schröder
    • 1
  1. 1.Mathematisches InstitutUniversität TübingenTübingenFederal Republic of Germany

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