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Conservative minimal quantum dynamical semigroups generated by noncommutative elliptic operators
반창호,고철기 대한수학회 2005 대한수학회지 Vol.42 No.6
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.