Relativistic charged particle in a uniform electromagnetic field

Authors

  • G.F. Torres del Castillo
  • C. Sosa Sánchez

Keywords:

Electromagnetic field, matrix exponentials, dominant energy condition, orthogonal transformations

Abstract

The equations of motion for a relativistic charged particle in a uniform electromagnetic field are solved in a covariant form by calculating the exponential of the matrix corresponding to the electromagnetic field tensor. It is shown that owing to the antisymmetry of the electromagnetic field tensor, the exponential mentioned above can be easily calculated. Some results are then applied to study the algebraic properties of the energy-momentum tensor of the electromagnetic field and the orthogonal transformations in spaces of dimension 4.

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Published

2011-01-01

How to Cite

[1]
G. Torres del Castillo and C. Sosa Sánchez, “Relativistic charged particle in a uniform electromagnetic field”, Rev. Mex. Fís., vol. 57, no. 1, pp. 53–0, Jan. 2011.

Issue

Vol. 57 No. 1 (2011): Revista Mexicana de Física.

Section

Articles

License

Authors retain copyright and grant the Revista Mexicana de Física right of first publication with the work simultaneously licensed under a CC BY-NC-ND 4.0 that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.