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, 2017, Volume 193, Number 2, Pages 356–366
DOI: https://doi.org/10.4213/tmf9255 (Mi tmf9255) 		 
This article is cited in 3 scientific papers (total in 3 papers)

New information-entropic relations for Clebsch–Gordan coefficients

V. N. Chernegaa, O. V. Man'koab, V. I. Man'koac, Z. Seilovc

a Lebedev Physical Institute, RAS, Moscow, Russia
b Bauman Moscow State Technical University, Moscow, Russia
c Moscow Institute of Physics and Technology (State University), Dolgoprudny, Moscow Oblast, Russia
Full-text PDF (420 kB) Citations (3)
References:
PDF
HTML
DOI: https://doi.org/10.4213/tmf9255
Abstract: Using properties of the Shannon and Tsallis entropies, we obtain new inequalities for the Clebsch–Gordan coefficients of the group $SU(2)$. For this, we use squares of the Clebsch–Gordan coefficients as probability distributions. The obtained relations are new characteristics of correlations in a quantum system of two spins. We also find new inequalities for Hahn polynomials and the hypergeometric functions ${}_3F_2$.
Keywords: information-entropic inequality, Clebsch–Gordan coefficient, Wigner $3j$ symbol, Hahn polynomial, Shannon entropy, Tsallis entropy, subadditivity condition.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation
The research of V. I. Manko was supported by the Tomsk State University Competitiveness Improvement Program.
Received: 26.07.2016
Revised: 10.12.2016
English version:
Theoretical and Mathematical Physics, 2017, Volume 193, Issue 2, Pages 1715–1724
DOI: https://doi.org/10.1134/S0040577917110113
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: V. N. Chernega, O. V. Man'ko, V. I. Man'ko, Z. Seilov, “New information-entropic relations for Clebsch–Gordan coefficients”, TMF, 193:2 (2017), 356–366; Theoret. and Math. Phys., 193:2 (2017), 1715–1724
Citation in format AMSBIB
\Bibitem{CheManMan17}
\by V.~N.~Chernega, O.~V.~Man'ko, V.~I.~Man'ko, Z.~Seilov
\paper New information-entropic relations for Clebsch--Gordan coefficients
\jour TMF
\yr 2017
\vol 193
\issue 2
\pages 356--366
\mathnet{http://mi.mathnet.ru/tmf9255}
\crossref{https://doi.org/10.4213/tmf9255}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2017TMP...193.1715C}
\elib{https://elibrary.ru/item.asp?id=30512374}
\transl
\jour Theoret. and Math. Phys.
\yr 2017
\vol 193
\issue 2
\pages 1715--1724
\crossref{https://doi.org/10.1134/S0040577917110113}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000416925700011}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85037639131}
Linking options:
  • https://www.mathnet.ru/eng/tmf9255
  • https://doi.org/10.4213/tmf9255
  • https://www.mathnet.ru/eng/tmf/v193/i2/p356
    • This publication is cited in the following 3 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
    Statistics & downloads:
    Abstract page:335
    Full-text PDF :108
    References:45
    First page:22
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024