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Matematicheskie Zametki, 2023, Volume 114, Issue 6, Pages 848–862
DOI: https://doi.org/10.4213/mzm14086 (Mi mzm14086) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Quasi-Classical Approximation of Monopole Harmonics

Yu. A. Kordyukova, I. A. Taimanovbc

a Institute of Mathematics with Computing Centre — Subdivision of the Ufa Federal Research Centre of the Russian Academy of Sciences, Ufa
b Novosibirsk State University
c Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
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DOI: https://doi.org/10.4213/mzm14086
Abstract: Using the generalization of the multidimensional WKB method to magnetic Laplacians corresponding to monopoles, which we proposed earlier, we obtain explicit formulas for quasi-classical approximations of eigenfunctions for the Dirac monopole.
Keywords: quasi-classical approximation, magnetic Laplacian, magnetic monopole.
Funding agency Grant number
Russian Science Foundation 21-41-00018
The research of the second author (I. A. Taimanov) was financially supported by the Russian Science Foundation, project 21-41-00018, https://rscf.ru/en/project/21-41-00018/.
Received: 26.06.2023
English version:
Mathematical Notes, 2023, Volume 114, Issue 6, Pages 1277–1288
DOI: https://doi.org/10.1134/S0001434623110597
Bibliographic databases:
Document Type: Article
UDC: 515.168+517.958:530.145.72
MSC: 58J50, 81Q20
Language: Russian
Citation: Yu. A. Kordyukov, I. A. Taimanov, “Quasi-Classical Approximation of Monopole Harmonics”, Mat. Zametki, 114:6 (2023), 848–862; Math. Notes, 114:6 (2023), 1277–1288
Citation in format AMSBIB
\Bibitem{KorTai23}
\by Yu.~A.~Kordyukov, I.~A.~Taimanov
\paper Quasi-Classical Approximation of Monopole Harmonics
\jour Mat. Zametki
\yr 2023
\vol 114
\issue 6
\pages 848--862
\mathnet{http://mi.mathnet.ru/mzm14086}
\crossref{https://doi.org/10.4213/mzm14086}
\transl
\jour Math. Notes
\yr 2023
\vol 114
\issue 6
\pages 1277--1288
\crossref{https://doi.org/10.1134/S0001434623110597}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85183701559}
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    • This publication is cited in the following 1 articles:
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