Dirac’s magnetic monopole and the Kontsevich star product
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Publication:5374106
DOI10.1088/1751-8121/aaa619zbMath1386.81146arXiv1708.05030OpenAlexW3102437112MaRDI QIDQ5374106
Publication date: 6 April 2018
Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1708.05030
deformation quantizationmagnetic monopoleHopf fibrationstar productWeyl correspondenceKontsevich graphsmagnetic Poisson brackets
Electromagnetic interaction; quantum electrodynamics (81V10) Geometry and quantization, symplectic methods (81S10) Fibrations, degenerations in algebraic geometry (14D06) Deformation quantization, star products (53D55) Poisson algebras (17B63) General topics in optics and electromagnetic theory (78A99)
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Charged particle motion in spherically symmetric distributions of magnetic monopoles ⋮ The Kirillov picture for the Wigner particle ⋮ Quantization of Magnetic Poisson Structures ⋮ Smooth 2-group extensions and symmetries of bundle gerbes ⋮ Geometry and 2-Hilbert space for nonassociative magnetic translations ⋮ Integrable generalisations of Dirac magnetic monopole
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