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A circle bundle with connection with non-trivial first Chern class, regarded as a monopole.
For more see at flux and at Dirac charge quantization.
The trajectory of an electron in the vicinity of a magnetic monopole is (e.g. Ferraro (1956) §306) a helix on the surface of a cone in space whose vertex is the location of the magnetic monopole:
Textbook accounts:
V. C. A. Ferraro, §137 in: Electromagnetic Theory, The Athlone Press (1954, 1956)
Yakov Shnir, Part I of: Magnetic Monopoles, Springer 2005 (ISBN:978-3-540-29082-7)
Theodore Frankel, section 5.5 of The Geometry of Physics - An Introduction
See also:
Tai Tsun Wu, Chen Ning Yang, Dirac monopole without strings: monopole harmonics, Nuclear Physics B107:3 (1976) 365–380, https://doi.org/10.1016/0550-3213(76)90143-7
Tai Tsun Wu, Chen Ning Yang, Dirac’s monopole without strings: Classical Lagrangian theory, Phys. Rev. D 14, 437 (1976), https://doi.org/10.1103/PhysRevD.14.437
Last revised on June 28, 2023 at 08:48:06. See the history of this page for a list of all contributions to it.