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Matematicheskie Zametki, 2018, Volume 103, Issue 1, paper published in the English version journal (Mi mzm12035)  
This article is cited in 8 scientific papers (total in 8 papers)

Papers published in the English version of the journal

On singular perturbations of quantum dynamical semigroups

A. S. Holevo

Steklov Mathematical Institute of Russian Academy of Sciences, Moscow, Russia
Citations (8)
Abstract: We consider two examples of quantum dynamical semigroups obtained by singular perturbations of a standard generator which are special case of unbounded completely positive perturbations studied in detail in [11]. In Sec. 2, we propose a generalization of an example in [15] aimed to give a positive answer to a conjecture of Arveson. In Sec. 3 we consider in greater detail an improved and simplified construction of a nonstandard dynamical semigroup outlined in our short communication [12].
Keywords: quantum dynamical semigroup, singular perturbation, nonstandard generator.
Funding agency Grant number
Russian Science Foundation 14-21-00162
This work was supported by the Russian Science Foundation under grant 14-21-00162.
Received: 07.07.2017
Revised: 12.10.2017
English version:
Mathematical Notes, 2018, Volume 103, Issue 1, Pages 133–144
DOI: https://doi.org/10.1134/S0001434618010157
Bibliographic databases:
Document Type: Article
Language: English
Citation: A. S. Holevo, “On singular perturbations of quantum dynamical semigroups”, Math. Notes, 103:1 (2018), 133–144
Citation in format AMSBIB
\Bibitem{Hol18}
\by A.~S.~Holevo
\paper On singular perturbations of quantum dynamical semigroups
\jour Math. Notes
\yr 2018
\vol 103
\issue 1
\pages 133--144
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\crossref{https://doi.org/10.1134/S0001434618010157}
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\elib{https://elibrary.ru/item.asp?id=35495584}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85043974607}
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    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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