Construction of dynamical semigroups by a functional regularisation \`{a} la Kato
Functional Analysis
2017-01-16 v1
Abstract
A functional version of the Kato one-parametric regularisation for the construction of a dynamical semigroup generator of a relative bound one perturbation is introduced. It does not require that the minus generator of the unperturbed semigroup is a positivity preserving operator. The regularisation is illustrated by an example of a boson-number cut-off regularisation.
Cite
@article{arxiv.1701.03506,
title = {Construction of dynamical semigroups by a functional regularisation \`{a} la Kato},
author = {A. F. M. ter Elst and Valentin A. Zagrebnov},
journal= {arXiv preprint arXiv:1701.03506},
year = {2017}
}