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arXiv · 1511.04879

Particle Motion in Generalized Dirac's Monopoles of dimension 2k+1

Zhanqiang Bai
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Abstract

By using Meng's idea in his generalization of the classical MICZ-Kepler problem, we obtained the equations of motion of a charged particle in the field of generalized Dirac monopole in odd dimensional Euclidean spaces. The main result is that for every particle trajectory $\mathbf{r}: I\to\mathbb{R}^{2k+1} \setminus \{0\}$, there is a 2-dimensional cone with vertex at the origin on which $\mathbf{r}$ is a~geodesic.

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Zhanqiang Bai. 2015-11-16. Particle Motion in Generalized Dirac's Monopoles of dimension 2k+1. https://doi.org/10.1063/1.4960674

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