Quasi-classical approximation for magnetic monopoles

DOI10.1070/RM9969zbMath1460.78007arXiv1912.12444OpenAlexW3107421919MaRDI QIDQ5853593

Iskander A. Taimanov, Yurii A. Kordyukov

Publication date: 11 March 2021

Published in: Russian Mathematical Surveys (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.12444

zbMATH Keywords

magnetic monopolemagnetic Laplacianquasi-classical approximation

Mathematics Subject Classification ID

Electromagnetic interaction; quantum electrodynamics (81V10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Geometry and quantization, symplectic methods (81S10) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Electromagnetic theory (general) (78A25) Electron optics (78A15)

Related Items (3)

Trace formula for the magnetic Laplacian on a compact hyperbolic surface ⋮ Geometry and quasiclassical quantization of magnetic monopoles ⋮ Quasi-classical approximation of monopole harmonics

Cites Work

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• Periodic solutions of Kirchhoff equations for the free motion of a rigid body in a fluid and the extended Lyusternik-Shnirel'man-Morse theory. I
• The principle of least action and periodic solutions in problems of classical mechanics
• The Hamiltonian formalism and a many-valued analogue of Morse theory
• Calculus of variations in the large and classical mechanics
• Magnetic Monopoles

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