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We introduce the class of generic quantum Markov semigroups. Within this class we study the class corresponding to the Fock case which is further split into four sub-classes each of which contains both bounded and unbounded generators, depending on some global characteristics of the intensities of jumps. For the first two of these classes we find an… (More)

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 Hamiltonian H S , acting on h, interacting with a Gaussian, gauge invariant, reservoir. The self-adjoint operator H S determines a privileged orthonormal basis of h. These… (More)

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