6533b86cfe1ef96bd12c82d3
RESEARCH PRODUCT
Symmetries and Covariance of the Maxwell Equations
Florian Schecksubject
Lorentz groupElectromagnetic fieldPhysicssymbols.namesakeMathematical optimizationClassical mechanicsSpacetimeMaxwell's equationssymbolsInhomogeneous electromagnetic wave equationMaxwell relationsLorentz forceAction (physics)description
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.
year | journal | country | edition | language |
---|---|---|---|---|
2012-01-01 |