Matematicheskie Zametki
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Mat. Zametki:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Matematicheskie Zametki, 2013, Volume 93, Issue 3, Pages 323–332
DOI: https://doi.org/10.4213/mzm9085 (Mi mzm9085) 		 
This article is cited in 4 scientific papers (total in 4 papers)

On Analogs of Spectral Decomposition of a Quantum State

G. G. Amosovab, V. Zh. Sakbaevab

a Steklov Mathematical Institute, Russian Academy of Sciences
b Moscow Institute of Physics and Technology (State University)
Full-text PDF (500 kB) Citations (4)
References:
PDF
HTML
DOI: https://doi.org/10.4213/mzm9085
Abstract: The set of quantum states in a Hilbert space is considered. The structure of the set of extreme points of the set of states is investigated and an arbitrary state is represented as the Pettis integral over a finitely additive measure on the set of vector states, which is a generalization of the spectral decomposition of a normal state.
Keywords: quantum state, spectral decomposition, finitely additive measure.
Funding agency Grant number
Russian Foundation for Basic Research 09-01-00265
10-01-00395
Ministry of Education and Science of the Russian Federation 2.1.1/11133
2.1.1/12136
Received: 21.03.2011
Revised: 18.06.2012
English version:
Mathematical Notes, 2013, Volume 93, Issue 3, Pages 351–359
DOI: https://doi.org/10.1134/S0001434613030012
Bibliographic databases:
Document Type: Article
UDC: 517.946+517.98
Language: Russian
Citation: G. G. Amosov, V. Zh. Sakbaev, “On Analogs of Spectral Decomposition of a Quantum State”, Mat. Zametki, 93:3 (2013), 323–332; Math. Notes, 93:3 (2013), 351–359
Citation in format AMSBIB
\Bibitem{AmoSak13}
\by G.~G.~Amosov, V.~Zh.~Sakbaev
\paper On Analogs of Spectral Decomposition of a Quantum State
\jour Mat. Zametki
\yr 2013
\vol 93
\issue 3
\pages 323--332
\mathnet{http://mi.mathnet.ru/mzm9085}
\crossref{https://doi.org/10.4213/mzm9085}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3205980}
\elib{https://elibrary.ru/item.asp?id=20731689}
\transl
\jour Math. Notes
\yr 2013
\vol 93
\issue 3
\pages 351--359
\crossref{https://doi.org/10.1134/S0001434613030012}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000317986600001}
\elib{https://elibrary.ru/item.asp?id=20433559}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84876432355}
Linking options:
  • https://www.mathnet.ru/eng/mzm9085
  • https://doi.org/10.4213/mzm9085
  • https://www.mathnet.ru/eng/mzm/v93/i3/p323
    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
    Statistics & downloads:
    Abstract page:944
    Full-text PDF :231
    References:66
    First page:53
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024