Communications in Mathematical Physics

, Volume 48, Issue 2, pp 119–130 | Cite as

On the generators of quantum dynamical semigroups

  • G. Lindblad


The notion of a quantum dynamical semigroup is defined using the concept of a completely positive map. An explicit form of a bounded generator of such a semigroup onB(ℋ) is derived. This is a quantum analogue of the Lévy-Khinchin formula. As a result the general form of a large class of Markovian quantum-mechanical master equations is obtained.


Neural Network Statistical Physic Complex System Nonlinear Dynamics Explicit Form 
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Copyright information

© Springer-Verlag 1976

Authors and Affiliations

  • G. Lindblad
    • 1
  1. 1.Department of Theoretical PhysicsRoyal Institute of TechnologyStockholm 70Sweden

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