Symmetry of the Maxwell and Minkowski equations system. (English) Zbl 1137.78003

Tsyfra, Ivan

J. Geom. Symmetry Phys. 9, 75-81 (2007).

Summary: We study the symmetry of Maxwell’s equations for external moving media together with the additional Minkowski constitutive equations (or Maxwell-Minkowski equations). We established that the system is conformally invariant.

MSC:

78A25	Electromagnetic theory (general)
83A05	Special relativity
35Q60	PDEs in connection with optics and electromagnetic theory
22E05	Local Lie groups

Keywords:

Lie group; Lie algebra; conformal group; Born-Infeld equation