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JOURNALS // Teoreticheskaya i Matematicheskaya Fizika // Archive

TMF, 2024 Volume 218, Number 1, Pages 149–167 (Mi tmf10559)

This article is cited 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

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.

Received: 05.06.2023
Revised: 05.06.2023

DOI: 10.4213/tmf10559


 English version:
Theoretical and Mathematical Physics, 2024, 218:1, 129–144

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© Steklov Math. Inst. of RAS, 2025