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.

中文翻译：

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磁单极子的几何和准经典量子化

摘要

我们介绍了导致磁荷概念的基本物理和数学思想（P.居里、达布、庞加莱、狄拉克）、黎曼流形上磁单极子的磁拉普拉斯算子的一​​般构造，以及科尔久科夫和作者在这些算子的特征部分的拟经典近似。