Uspekhi Fizicheskikh Nauk
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


UFN:
Year:
Volume:
Issue:
Page:
Find




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

Uspekhi Fizicheskikh Nauk, 1992, Volume 162, Number 12, Pages 1–95
DOI: https://doi.org/10.3367/UFNr.0162.199212a.0001 (Mi ufn7310) 		 
This article is cited in 10 scientific papers (total in 10 papers)

REVIEWS OF TOPICAL PROBLEMS

Groups and probabilities at the foundations of quantum mechanics

Ya. A. Smorodinskiia, A. L. Shelepinb, L. A. Shelepinc

a Russian Research Centre "Kurchatov Institute", Moscow
b Moscow Institute of Radio-Engineering, Electronics and Automation
c P. N. Lebedev Physical Institute of the Russian Academy of Sciences, Moscow
Full-text PDF (2168 kB) Citations (10)
DOI: https://doi.org/10.3367/UFNr.0162.199212a.0001
Abstract: The current state of the foundations of quantum mechanics is discussed. The analysis takes as its starting point the theory of probability amplitudes, which is intimately related to the group-theoretic approach. A detailed examination is presented of the relationships of classical and quantum theories, the transition to the classical limit, the different forms of uncertainty relations, and the properties of quantum structures determined by the Clebsch–Gordan coefficients. Possible future generalizations are examined, including those involving quantum algebras.
Received: June 17, 1992
English version:
Physics–Uspekhi, 1992, Volume 35, Issue 12, Pages 1005–1051
DOI: https://doi.org/10.1070/PU1992v035n12ABEH002281
Document Type: Article
PACS: 03.65.Ta, 03.65.Db, 02.50.Cw
Language: Russian
Citation: Ya. A. Smorodinskii, A. L. Shelepin, L. A. Shelepin, “Groups and probabilities at the foundations of quantum mechanics”, UFN, 162:12 (1992), 1–95; Phys. Usp., 35:12 (1992), 1005–1051
Citation in format AMSBIB
\Bibitem{SmoSheShe92}
\by Ya.~A.~Smorodinskii, A.~L.~Shelepin, L.~A.~Shelepin
\paper Groups and probabilities at the foundations of quantum mechanics
\jour UFN
\yr 1992
\vol 162
\issue 12
\pages 1--95
\mathnet{http://mi.mathnet.ru/ufn7310}
\crossref{https://doi.org/10.3367/UFNr.0162.199212a.0001}
\transl
\jour Phys. Usp.
\yr 1992
\vol 35
\issue 12
\pages 1005--1051
\crossref{https://doi.org/10.1070/PU1992v035n12ABEH002281}
Linking options:
  • https://www.mathnet.ru/eng/ufn7310
  • https://www.mathnet.ru/eng/ufn/v162/i12/p1
    Erratum
    This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Успехи физических наук Physics-Uspekhi
    Statistics & downloads:
    Abstract page:74
    Full-text PDF :59
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024