Russian Mathematical Surveys
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Uspekhi Mat. Nauk:
Year:
Volume:
Issue:
Page:
Find




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

Russian Mathematical Surveys, 2020, Volume 75, Issue 6, Pages 1067–1088
DOI: https://doi.org/10.1070/RM9969 (Mi rm9969) 		 
This article is cited in 5 scientific papers (total in 6 papers)

Quasi-classical approximation for magnetic monopoles

Yu. A. Kordyukovab, I. A. Taimanovcb

a Institute of Mathematics with Computing Centre, Ufa Federal Research Centre, Russian Academy of Sciences
b Novosibirsk State University
c Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
English version PDF (555 kB) Citations (6) Russian version article
References:
PDF
HTML
DOI: https://doi.org/10.1070/RM9969
Abstract: A quasi-classical approximation is constructed to describe the eigenvalues of the magnetic Laplacian on a compact Riemannian manifold in the case when the magnetic field is given by a non-exact 2-form. For this, the multidimensional WKB method in the form of the Maslov canonical operator is applied. In this case, the canonical operator takes values in sections of a non-trivial line bundle. The constructed approximation is demonstrated for the example of the Dirac magnetic monopole on the two-dimensional sphere.
Bibliography: 18 titles.
Keywords: quasi-classical approximation, magnetic Laplacian, magnetic monopole.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 14.Y26.31.0025
This work was supported by the Laboratory of Topology and Dynamics in Novosibirsk State University (grant no. 14.Y26.31.0025 of the Government of the Russian Federation).
Received: 03.08.2020
Bibliographic databases:
Document Type: Article
UDC: 515.168+517.958:530.145.72
MSC: Primary 58J37; Secondary 53D05
Language: English
Original paper language: Russian
Citation: Yu. A. Kordyukov, I. A. Taimanov, “Quasi-classical approximation for magnetic monopoles”, Russian Math. Surveys, 75:6 (2020), 1067–1088
Citation in format AMSBIB
\Bibitem{KorTai20}
\by Yu.~A.~Kordyukov, I.~A.~Taimanov
\paper Quasi-classical approximation for magnetic monopoles
\jour Russian Math. Surveys
\yr 2020
\vol 75
\issue 6
\pages 1067--1088
\mathnet{http://mi.mathnet.ru//eng/rm9969}
\crossref{https://doi.org/10.1070/RM9969}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4181058}
\zmath{https://zbmath.org/?q=an:1460.78007}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2020RuMaS..75.1067K}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000625987300001}
\elib{https://elibrary.ru/item.asp?id=46758600}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85103054739}
Linking options:
  • https://www.mathnet.ru/eng/rm9969
  • https://doi.org/10.1070/RM9969
  • https://www.mathnet.ru/eng/rm/v75/i6/p85
    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Успехи математических наук Russian Mathematical Surveys
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024