, Volume 48, Issue 2, pp 119-130

On the generators of quantum dynamical semigroups

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Abstract

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.

Communicated by H. Araki