Communications in Mathematical Physics

, Volume 48, Issue 2, pp 119–130

On the generators of quantum dynamical semigroups

  • G. Lindblad

DOI: 10.1007/BF01608499

Cite this article as:
Lindblad, G. Commun.Math. Phys. (1976) 48: 119. doi:10.1007/BF01608499


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.

Copyright information

© Springer-Verlag 1976

Authors and Affiliations

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

Personalised recommendations