The motion of a relativistic charged particle in a homogenous electromagnetic field in De-Sitter space | Zendy

Rıdvan Cem Demi̇rkol | Zendy; Talat Körpınar | Zendy

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The motion of a relativistic charged particle in a homogenous electromagnetic field in De-Sitter space

Author(s) -

Rıdvan Cem Demi̇rkol,

Talat Körpınar

Publication year - 2018

Publication title -

revista mexicana de física

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.181

H-Index - 25

eISSN - 2683-2224

pISSN - 0035-001X

DOI - 10.31349/revmexfis.64.176

Subject(s) - physics , antisymmetric tensor , de sitter space , de sitter universe , de sitter invariant special relativity , classical mechanics , anti de sitter space , lorentz transformation , electromagnetic field , charged particle , mathematical physics , electromagnetic tensor , space (punctuation) , relativistic particle , tensor (intrinsic definition) , quantum mechanics , maxwell's equations , universe , geometry , electron , mathematics , gauge theory , ion , linguistics , philosophy

We discuss the geometric characterization of the trajectory of a moving charged particle, for the case of a homogeneous electromagnetic eld, in De-Sitter space when the motion is governed by the Lorentz equa- tion. We employ totally relativistic approach during the discussion and it is based on a systematic use of the four-dimensional Frenet-Serret formulae, which is adapted to the De-Sitter space to determine the worldline geometry of the electromagnetic eld acting on the particle in De-Sitter space, and of the Faraday antisymmetric tensor properties.

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