Abstract

TORRES DEL CASTILLO, G.F.  and  SOSA SANCHEZ, C. Relativistic charged particle in a uniform electromagnetic field. Rev. mex. fis. [online]. 2011, vol.57, n.1, pp.53-59. ISSN 0035-001X.

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.

Keywords : Electromagnetic field; matrix exponentials; dominant energy condition; orthogonal transformations.