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Teoreticheskaya i Matematicheskaya Fizika, 2024, Volume 218, Number 1, Pages 149–167
DOI: https://doi.org/10.4213/tmf10559 (Mi tmf10559) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Geometry and quasiclassical quantization of magnetic monopoles

I. A. Taimanov

Sobolev Institute of Mathematics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, Russia
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DOI: https://doi.org/10.4213/tmf10559
Abstract: We present the basic physical and mathematical ideas (P. Curie, Darboux, Poincaré, Dirac) that led to the concept of magnetic charge, the general construction of magnetic Laplacians for magnetic monopoles on Riemannian manifolds, and the results of Kordyukov and the author on the quasiclassical approximation for eigensections of these operators.
Keywords: quasiclassical approximation, magnetic Laplacian, magnetic monopole.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation FWNF-2022-0004
This study was performed according to the Government research assignment for the Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, project FWNF-2022-0004.
Received: 05.06.2023
Revised: 05.06.2023
English version:
Theoretical and Mathematical Physics, 2024, Volume 218, Issue 1, Pages 129–144
DOI: https://doi.org/10.1134/S0040577924010094
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: I. A. Taimanov, “Geometry and quasiclassical quantization of magnetic monopoles”, TMF, 218:1 (2024), 149–167; Theoret. and Math. Phys., 218:1 (2024), 129–144
Citation in format AMSBIB
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\paper Geometry and quasiclassical quantization of magnetic monopoles
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\transl
\jour Theoret. and Math. Phys.
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\pages 129--144
\crossref{https://doi.org/10.1134/S0040577924010094}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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