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arXiv · 1701.03506

Construction of dynamical semigroups by a functional regularisation \`{a} la Kato

A. F. M. ter Elst·Valentin A. Zagrebnov
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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.

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A. F. M. ter Elst, Valentin A. Zagrebnov. 2017-01-12. Construction of dynamical semigroups by a functional regularisation \`{a} la Kato. https://arxiv.org/abs/1701.03506

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