均匀磁场中的转动导体和麦克斯韦方程组的协变性

Rotational conductor in magnetic field and covariance of Maxwell equations

对某文献中"形如E=±v×B的电场的非零散度与真实的电荷密度无本质关联"的观点提出商榷,指出它违反麦克斯韦方程组的协变性,而实际情形是电场的散度仍然为0.然后就原文举出的匀强磁场的例子,在匀速转动系中利用曲线坐标系和嘉当(Cartan)随动标架进行了相应的计算,结果表明麦克斯韦方程组的协变性并未被破坏.

The viewpoint in reference that nonzero divergence of electric field E = ±v ×B has nothing to do with electric charge density is challenged. It violates the covariance of Maxwell equation, and the true situation is that the divergence equals still to zero. Taking uniform magnetic field as an example, calculations in uniformly rotational reference system by curvilinear coordinates and Cartan comoving tetrad are performed. It is shown that the covariance of Maxwell equations is retained.