On the generators of quantum dynamical semigroups

@article{Lindblad1976OnTG,
  title={On the generators of quantum dynamical semigroups},
  author={G{\"o}ran Lindblad},
  journal={Communications in Mathematical Physics},
  year={1976},
  volume={48},
  pages={119-130}
}
  • G. Lindblad
  • Published 1 June 1976
  • Mathematics
  • Communications in Mathematical Physics
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. 
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