电磁学高年级课程中的最小化假设
Minimizing postulation in a senior undergraduate course in electromagnetism
摘要:
本文介绍了针对电磁学理论零散化的问题,对本科高年级电磁学教学进行的探索。像往常一样,它从静态的情况下开始,但它是严格根据亥姆霍兹定理的唯一性的矢量场,对主要的实验观察的来源,电场和磁场,对楞次定律和原则的叠加和互惠的相互作用。此后,无需进一步的假设,所有的法则和规则都是在电和磁相互平行的过程中产生的。麦克斯韦方程组是逐步建立的,表明电磁场可以被认为是一个遵循最简单的物理理论原理的双重线性矢量场。它表明,每一个单位制适合这种形式主义,提供适当的值分配给其中产生的一些常数从叠加原理。
英文摘要:
An approach to the teaching of electromagnetism to senior undergraduate students, designed for overcoming the fragmentation of the theory is described. As usual it starts from the static case, but it is strictly based on Helmholtz theorem of uniqueness of vector fields, on primary experimental observations upon the sources of electric and magnetic fields, on Lenz's law and on principles of superposition and reciprocity of interactions. Thereafter, without further postulation, all laws and rules arise in a procedure where electricity and magnetism parallel one another. Maxwell's equations are built up on a step-by-step basis, showing that electromagnetic field can be considered but a twofold linear vector field obeying the simplest principles of physical theories. It is shown that every system of units fits this formalism, provided suitable values are assigned to some constants arising therein from superposition principle.
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