Quasi-classical approximation for magnetic monopoles

Yu. A. Kordyukov, I. A. Taimanov

Результат исследования: Научные публикации в периодических изданияхстатьярецензирование


A quasi-classical approximation is constructed to describe the eigenvalues of the magnetic Laplacian on a compact Riemannian manifold in the case when the magnetic field is given by a non-exact 2-form. For this, the multidimensional WKB method in the form of the Maslov canonical operator is applied. In this case, the canonical operator takes values in sections of a non-trivial line bundle. The constructed approximation is demonstrated for the example of the Dirac magnetic monopole on the two-dimensional sphere.

Язык оригиналаанглийский
Страницы (с-по)1067-1088
Число страниц22
ЖурналRussian Mathematical Surveys
Номер выпуска6
СостояниеОпубликовано - дек 2020

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