The curvature and torsion of trajectories of charges in external gauge fields, including fields of magnetic monopoles, have been determined. It has been shown that these quantities are effectively calculated with the help of the equations of motion and first integrals. For a wide class of magnetic fields, their form-invariant combination has been revealed.
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 1, pp. 35–42, January, 2021.
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Voronova, E.A., Korenblit, S.É. On the Internal Geometry of Trajectories of Charged Particles in Symmetric External Fields. Russ Phys J 64, 39–49 (2021). https://doi.org/10.1007/s11182-021-02298-2
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DOI: https://doi.org/10.1007/s11182-021-02298-2