On perturbations of dynamical semigroups defined by covariant completely positive measures on the semi-axis
Quantum Physics
2021-01-06 v1 Functional Analysis
Abstract
We consider perturbations of dynamical semigroups on the algebra of all bounded operators in a Hilbert space generated by covariant completely positive measures on the semi-axis. The construction is based upon unbounded linear perturbations of generators of the preadjoint semigroups on the space of nuclear operators. As an application we construct a perturbation of the semigroup of non-unital *-endomorphisms on the algebra of canonical anticommutation relations resulting in the flow of shifts.
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Cite
@article{arxiv.2101.01656,
title = {On perturbations of dynamical semigroups defined by covariant completely positive measures on the semi-axis},
author = {G. G. Amosov},
journal= {arXiv preprint arXiv:2101.01656},
year = {2021}
}
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14 pages