Equations of Motion for a Charged Particle in n-Dimensional Magnetic Field |

W. Florek and M. ThomasInstitute of Physics, Adam Mickiewicz University, Umultowska 85, 61-614 PoznaĆ, Poland |

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The equation of motion for a charged particle moving in the n-dimensional constant magnetic field is obtained for any linear gauge and any metric tensor by generalization of Johnson and Lipmann's approach. It allows to consider the magnetic orbits in the n-dimensional space. It is shown that the movement of a particle can always be decomposed into a number of two-dimensional cyclotronic motions and a free particle part. |

DOI: 10.12693/APhysPolA.97.935 PACS numbers: 02.20.-a, 03.65.Bz |