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arXiv · 1912.12444

Quasiclassical approximation for magnetic monopoles

Yuri A. Kordyukov·Iskander A. Taimanov
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Abstract

A quasiclassical approximation is constructed to describe the eigenvalues of the magnetic Laplacian on a compact Riemannian manifold in the case when the magnetic field is not given by an exact 2-form. For this, the multidimensional WKB method in the form of Maslov canonical operator is applied. In this case, the canonical operator takes values in sections of a nontrivial line bundle. The constructed approximation is demonstrated for the Dirac magnetic monopole on the two-dimensional sphere.

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BibTeXRIS

Yuri A. Kordyukov, Iskander A. Taimanov. 2019-12-28. Quasiclassical approximation for magnetic monopoles. https://doi.org/10.1070/rm9969

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