Abstract
Here we derive a new formula for the exponent of an arbitrary matrix in the Lie algebra of the Lorentz group. Our considerations are based on the fact that for each constant electromagnetic field there exist an inertial system in which one can easily solve the respective Lorentz equation and therefore to find the explicit formulas describing the trajectories of the charged particles in this field.
Information
Published: 1 January 2006
First available in Project Euclid: 13 July 2015
zbMATH: 1098.22008
MathSciNet: MR2228366
Digital Object Identifier: 10.7546/giq-7-2006-98-115
Rights: Copyright © 2006 Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences
