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On the existence of stationary states for quantum dynamical semigroups

Franco FagnolaUniversità degli Studi di Genova, Dipartimento di Matematica, via Dodecaneso 35, I-16146 Genova, ItalyRolando RebolledoFacultad de Matemáticas Universidad Católica de Chile, Casilla 306, Santiago 22, Chile
2001en
ABI

Abstract

We provide two criteria on the existence of stationary states for quantum dynamical semigroups. The first one is based on the semigroup itself, while the second criterion is based on the generator which is in general unbounded and interpreted as a sesquilinear form. These results are illustrated by physical examples drawn from quantum optics.

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