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The Lorentz force is the force exerted on a particle that is charged under the electromagnetic field.
See relativistic particle for details.
If one models the electromagnetic field via the Kaluza-Klein mechanism as a field of gravity on a fiber bundle, then trajectories of charged particles subject to the Lorentz force in the base space of that bundle are euivalently just geodesics on the total space, e.g. (Bleecker 81). An exposition of this fact is in (Bartlett 13).
Named after Hendrik Lorentz.
Textbook accounts:
Discussion in worldline Lagrangian mechanics:
Charles Misner, Kip Thorne, John Wheeler, Exc. 7.2 (p. 179) in: Gravitation, W. H. Freeman, San Francisco (1973) [ISBN:9780716703440]
Theodore Frankel, §16.4b in: The Geometry of Physics - An Introduction, Cambridge University Press (1997, 2004, 2012) [doi:10.1017/CBO9781139061377]
See also
On generalization to the spinning particle:
Discussion of Lorentz force from the point of view of the Kaluza-Klein mechanism:
and exposition is in
Last revised on September 10, 2023 at 17:26:52. See the history of this page for a list of all contributions to it.