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.

A characterization of quantum Markov semigroups of weak coupling limit type

Fagnola F.;
2019-01-01

Abstract

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.
2019
invariant operator subspace; Quantum Markov semigroup; weak coupling limit-type generator
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11311/1105089
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