Weyl correspondence for a charged particle in the field of a magnetic monopole

DOI10.1134/S0040577916050135zbMath1346.81055OpenAlexW2462840566MaRDI QIDQ309333

M. A. Solov'ev

Publication date: 7 September 2016

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0040577916050135

zbMATH Keywords

gauge symmetrymagnetic monopoleHopf fibrationstar productcharge quantizationpresymplectic reductionWeyl correspondence

Mathematics Subject Classification ID

Geometry and quantization, symplectic methods (81S10) Structure of families (Picard-Lefschetz, monodromy, etc.) (14D05) Deformation quantization, star products (53D55) Lagrangian submanifolds; Maslov index (53D12) Motion of charged particles (78A35) Lagrangian formalism and Hamiltonian formalism in mechanics of particles and systems (70S05) Mathematically heuristic optics and electromagnetic theory (must also be assigned at least one other classification number in Section 78-XX) (78A97)

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The Kirillov picture for the Wigner particle ⋮ Dirac’s magnetic monopole and the Kontsevich star product

Cites Work

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• Star-product in the presence of a monopole
• Moyal planes are spectral triples
• Über die Abbildungen der dreidimensionalen Sphäre auf die Kugelfläche
• The Hopf fibration --- seven times in physics
• Star products on symplectic vector spaces: convergence, representations, and extensions
• Algebras of distributions suitable for phase-space quantum mechanics. I
• Harmonic Analysis in Phase Space. (AM-122)
• Perturbation theory of Kepler motion based on spinor regularization.
• The Theory of Magnetic Poles