Geometry and quasiclassical quantization of magnetic monopoles
Teoretičeskaâ i matematičeskaâ fizika, Tome 218 (2024) no. 1, pp. 149-167
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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.
Mots-clés :
quasiclassical approximation
Keywords: magnetic Laplacian, magnetic monopole.
Keywords: magnetic Laplacian, magnetic monopole.
@article{TMF_2024_218_1_a8,
author = {I. A. Taimanov},
title = {Geometry and quasiclassical quantization of magnetic monopoles},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {149--167},
publisher = {mathdoc},
volume = {218},
number = {1},
year = {2024},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_2024_218_1_a8/}
}
I. A. Taimanov. Geometry and quasiclassical quantization of magnetic monopoles. Teoretičeskaâ i matematičeskaâ fizika, Tome 218 (2024) no. 1, pp. 149-167. http://geodesic.mathdoc.fr/item/TMF_2024_218_1_a8/