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Quantum dynamical semigroup and its asymptotic behaviors

최베니
대한수학회 (The Korean Mathematical Society)|2004.02|대한수학회보 (Bulletin of the KMS)|제41권 제1호|pp. 189-198

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Abstract

In this study we consider quantum dynamical semigroup with anormal faithful invariant state. A quantum dynamical semigroupalpha = {alpha _t }_{t geq 0} is a class of linear normalidentity-preserving mappings on a von Neumann algebra mathcal M with semigroup property and some positivity condition. Weinvestigate the asymptotic behaviors of the semigroup such asergodicity or mixing properties in terms of their eigenvaluesunder the assumption that the semigroup satisfies positivity. Thisextends the result of cite{Wa} which is obtained under theassumption that the semigroup satisfy 2-positivity.

참고문헌 (11)

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