On singular perturbations of quantum dynamical semigroups
Mathematical Physics
2018-01-29 v5 math.MP
Quantum Physics
Abstract
We consider two examples of dynamical semigroups obtained by singular perturbations of a standard generator which are special case of unbounded completely positive perturbations studied in detail in [10]. In the section 2 we propose a generalization of an example from [1] aimed to give a positive answer to a conjecture of Arveson. In the section 3 we consider in greater detail an improved and simplified construction of a nonstandard dynamical semigroup outlined in our short communication [13].
Cite
@article{arxiv.1706.04866,
title = {On singular perturbations of quantum dynamical semigroups},
author = {A. S. Holevo},
journal= {arXiv preprint arXiv:1706.04866},
year = {2018}
}
Comments
15 pages, typos corrected