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Tiered structure and symmetry of the electromagnetic equations
Journal of Modern Optics ( IF 1.3 ) Pub Date : 2021-09-24 , DOI: 10.1080/09500340.2021.1979117
M. Fernandez-Guasti 1
Affiliation  

The structure of Maxwell's equations is reproduced for the potentials introducing a second vector potential ç, in addition to the usual vector potential A. These in turn can be described in terms of the so-called potpotentials and the process continued ad infinitum. A unified scheme is expounded, where the relationship between contiguous and alternate tiers is presented. The Heaviside Larmor (HL) symmetry is fulfilled in any one tier. In the presence of matter, the electric–magnetic symmetry is broken by electric monopoles but preserved for the electric and magnetic dipoles. The Hertz potentials will be shown to be the second tier potentials. The obtention of vector solutions from a scalar solution will be shown to be a direct consequence of linear superposition, the HL symmetry and the structure of the electromagnetic equations for all tiers. The Debye potentials provide such solutions for spherical symmetry. The physical reality of the quantities in any one tier is discussed, in particular regarding the question of gauge transformations and physical observables.



中文翻译:

电磁方程的分层结构和对称性

对于引入第二个矢量势的势,再现麦克斯韦方程的结构 C, 除了通常的向量势 一种. 这些反过来又可以用所谓的电位和过程无限地继续进行描述。阐述了一个统一的方案,其中介绍了连续层和交替层之间的关系。Heaviside Larmor (HL) 对称性在任何一层都得到满足。在物质存在的情况下,电单极子打破了电磁对称性,但保留了电偶极子和磁偶极子。赫兹势将显示为第二层势。从标量解中获得矢量解将被证明是线性叠加、HL 对称性和所有层的电磁方程结构的直接结果。德拜势为球对称提供了这样的解决方案。讨论了任何一层中数量的物理现实,

更新日期:2021-10-19
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