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Conservative minimal quantum dynamical semigroups generated by noncommutative elliptic operators

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Abstract

By employing Chebotarev and Fagnola's sufficient conditions for conservativity of minimal quantum dynamical semigroups \cite{CF1, CF2}, we construct the conservative minimal quantum dynamical semigroups generated by noncommutative elliptic operators in the sense of \cite{BP}. We apply our results to concrete examples.

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