The electromagnetic field equations for moving media

10th Biennial Conference on Classical and Quantum Relativistic Dynamics of Particles and Fields

Ivezi, T.^1

Ruder Bokovi Institute, P.O.B. 180, Zagreb

10002, Croatia^1

关键词: Faraday's laws;    Field equation;    Geometric formulation;    Geometric quantities;    Magnetic charges;    Moving medium;    Standard basis;    Velocity vectors;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/845/1/012013/pdf
DOI  :  10.1088/1742-6596/845/1/012013

来源: IOP

【 摘 要 】

In this paper a formulation of the field equation for moving media is developed by the generalization of an axiomatic geometric formulation of the electromagnetism in vacuum (Ivezi T 2005 Found. Phys. Lett. 18 401). First, the field equations with bivectors F (x) and (x) are presented and then these equations are written with the 4D vectors E(x), B(x), P (x) and M(x). The latter contain both the 4D velocity vector u of a moving medium and the 4D velocity vector v of the observers who measure E and B fields. They do not appear in previous literature. All these equations are also written in the standard basis and compared with Maxwell's equations with 3D vectors. In this approach the Ampère-Maxwell law and Gauss's law are inseparably connected in one law and the same happens with Faraday's law and the law that expresses the absence of magnetic charge. It is shown that Maxwell's equations with 3D vectors and the field equations with 4D geometric quantities are not equivalent in 4D spacetime.