Teoreticheskaya i Matematicheskaya Fizika
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
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


TMF:
Year:
Volume:
Issue:
Page:
Find




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

Teoreticheskaya i Matematicheskaya Fizika, 2001, Volume 129, Number 1, Pages 87–102
DOI: https://doi.org/10.4213/tmf521 (Mi tmf521) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Statistical Algebraic Approach to Quantum Mechanics

D. A. Slavnov

M. V. Lomonosov Moscow State University
Full-text PDF (254 kB) Citations (5)
References:
PDF
HTML
DOI: https://doi.org/10.4213/tmf521
Abstract: A scheme for constructing quantum mechanics not based on the Hilbert space and linear operators as primary elements of the theory is proposed. A particular variant of the algebraic approach is discussed. The elements of a noncommutative algebra (i.e., the observables) and the nonlinear functionals on this algebra (i.e., the physical states) serve as the primary components of the theory. The functionals are associated with the results of a single measurement. The ensembles of physical states are suggested for the role of quantum states in the standard quantum mechanics. It is shown that the mathematical formalism of the standard quantum mechanics can be fully recovered within this scheme.
Received: 06.02.2001
Revised: 03.04.2001
English version:
Theoretical and Mathematical Physics, 2001, Volume 129, Issue 1, Pages 1385–1397
DOI: https://doi.org/10.1023/A:1012419528129
Bibliographic databases:
Language: Russian
Citation: D. A. Slavnov, “Statistical Algebraic Approach to Quantum Mechanics”, TMF, 129:1 (2001), 87–102; Theoret. and Math. Phys., 129:1 (2001), 1385–1397
Citation in format AMSBIB
\Bibitem{Sla01}
\by D.~A.~Slavnov
\paper Statistical Algebraic Approach to Quantum Mechanics
\jour TMF
\yr 2001
\vol 129
\issue 1
\pages 87--102
\mathnet{http://mi.mathnet.ru/tmf521}
\crossref{https://doi.org/10.4213/tmf521}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1904749}
\zmath{https://zbmath.org/?q=an:1035.81008}
\transl
\jour Theoret. and Math. Phys.
\yr 2001
\vol 129
\issue 1
\pages 1385--1397
\crossref{https://doi.org/10.1023/A:1012419528129}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000172400800008}
Linking options:
  • https://www.mathnet.ru/eng/tmf521
  • https://doi.org/10.4213/tmf521
  • https://www.mathnet.ru/eng/tmf/v129/i1/p87
    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024