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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2011, Number 10, Pages 48–58 (Mi ivm8101)  
This article is cited in 7 scientific papers (total in 7 papers)

The set of quantum states and its averaged dynamic transformations

V. Z. Sakbaev

Moscow Psycical & Engineering Institute, Dolgoprudnyi, Moscow region, Russia
Full-text PDF (236 kB) Citations (7)
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Abstract: In this paper we consider the set of quantum states and passages to the limit for sequences of quantum dynamic semigroups in the mentioned set. We study the structure of the set of extreme points of the set of quantum states and represent an arbitrary state as an integral over the set of one-dimensional orthogonal projectors; the obtained representation is similar to the spectral decomposition of the normal state. We apply the obtained results to the analysis of the limit behavior of sequences of quantum dynamic semigroups which occur in the regularization of the degenerate Hamiltonian.
Keywords: finitely additive measure, quantum state, dynamic semigroup.
Received: 10.08.2010
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2011, Volume 55, Issue 10, Pages 41–50
DOI: https://doi.org/10.3103/S1066369X11100069
Bibliographic databases:
Document Type: Article
UDC: 517.98
Language: Russian
Citation: V. Z. Sakbaev, “The set of quantum states and its averaged dynamic transformations”, Izv. Vyssh. Uchebn. Zaved. Mat., 2011, no. 10, 48–58; Russian Math. (Iz. VUZ), 55:10 (2011), 41–50
Citation in format AMSBIB
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\by V.~Z.~Sakbaev
\paper The set of quantum states and its averaged dynamic transformations
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2011
\issue 10
\pages 48--58
\mathnet{http://mi.mathnet.ru/ivm8101}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2918336}
\elib{https://elibrary.ru/item.asp?id=16546274}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2011
\vol 55
\issue 10
\pages 41--50
\crossref{https://doi.org/10.3103/S1066369X11100069}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84856271379}
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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