Symmetries and Covariance of the Maxwell Equations

  • Florian ScheckEmail author
Part of the Graduate Texts in Physics book series (GTP)


Already within a given, fixed division of four-dimensional spacetime into the space where experiments are performed, and the laboratory time variable, Maxwell’s equations show interesting transformation properties under continuous and discrete space-time transformations. However, only the action of the whole Lorentz group on them reveals their full symmetry structure. A good example that illustrates the covariance of Maxwell’s equations is provided by the electromagnetic fields of a point charge uniformly moving along a straight line.


Exterior Form Special Lorentz Transformation Inhomogeneous Maxwell Equations Axial Vector Field Exterior Derivative 
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Copyright information

© Springer-Verlag GmbH Germany 2018

Authors and Affiliations

  1. 1.MainzGermany

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