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Intrinsic geometry of curves and the Lorentz equation
Authors:J H Caltenco  R Linares y M  J L López-Bonilla
Institution:(1) Sección de Estudios de Posgrado e Investigación, Escuela Superior de Ingeniería Mecánica y Eléctrica, Instituto Politécnico Nacional Edif. Z, Acc. 3-3er Piso Col. Lindavista, C.P. 07738, México D.F.
Abstract:We show that the trajectory of a point charge in a uniform electromagnetic field is a helix if the Lorentz equation governs its motion. Our approach is totally relativistic, and it is based on the use of the Frenet-Serret formulae which describe the intrinsic geometry of world lines in Minkowski spacetime.
Keywords:03  50  De  41  20  -q
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