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Construction of dynamical semigroups by a functional regularization à la Kato
Theoretical and Mathematical Physics ( IF 1 ) Pub Date : 2020-07-01 , DOI: 10.1134/s004057792007003x
A. F. M. ter Elst , V. A. Zagrebnov

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.

中文翻译:

通过功能正则化 à la Kato 构造动态半群

介绍了加藤一参数正则化的函数版本,用于构造相对界一微扰的动态半群生成器。它不要求未扰动半群的负生成元是一个正性保持算子。正则化通过一个玻色子数截止正则化的例子来说明。
更新日期:2020-07-01
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