The conservativity of a minimal quantum dynamical semigroup is proved whenever there exists a " reference " subharmonic operator bounded from below by the dissipative part of the infinitesimal… (More)

In this article we try to bridge the gap between the quantum dynamical semigroup and Wigner function approaches to quantum open systems. In particular we study stationary states and the long time… (More)

We solve, mainly by counterexamples, many natural questions regarding maximal commu-tative subalgebras invariant under CP-maps or semigroups of CP-maps on a von Neumann algebra. In particular, we… (More)

We solve, mainly by counterexamples, many natural questions regarding maximal commu-tative subalgebras invariant under CP-maps or semigroups of CP-maps on a von Neumann algebra. In particular, we… (More)

We find the structure of generators of norm continuous quantum Markov semigroups on B(h) that are symmetric with respect to the scalar product tr(ρ 1/2 x * ρ 1/2 y) induced by a faithful normal… (More)

For a quantum Markov semigroup T on the algebra B(h) with a faithful invariant state ρ, we can define an adjoint T with respect to the scalar product determined by ρ. In this paper, we solve the open… (More)

We solve, mainly by counterexamples, many natural questions regarding maximal commu-tative subalgebras invariant under CP-maps or semigroups of CP-maps on a von Neumann algebra. In particular, we… (More)

Abstract We study a class of generic quantum Markov semigroups on the algebra of all bounded operators on a Hilbert space h arising from the stochastic limit of a discrete system with generic… (More)