Equations of Motion for a Charged Particle in n-Dimensional Magnetic Field
W. Florek and M. Thomas
Institute of Physics, Adam Mickiewicz University, Umultowska 85, 61-614 PoznaƄ, 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