# 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} }

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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