We characterize generators of quantum Markov semigroups leaving invariant a maximal abelian purely atomic algebra and certain operator subspaces associated with it in a natural way. From this result, we also establish a characterization of generators of quantum Markov semigroups of weak coupling limit type associated with a nondegenerate Hamiltonian.

中文翻译：

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弱耦合极限型量子马尔可夫半群的刻画

我们描述了量子马尔可夫半群的生成器，使最大阿贝尔纯原子代数和与它以自然方式相关的某些算子子空间保持不变。根据这个结果，我们还建立了与非简并哈密顿量相关的弱耦合极限类型的量子马尔可夫半群的生成元的特征。