对Maxwell方程组的研究和讨论
Study and Discussions on the Maxwell Equations
投稿时间: 2022/8/20 0:00:00
DOI:
中文关键词: Maxwell方程组(ME);Maxwell波方程;Hansen函数;Proca方程组;Proca波方程;扩展的Maxwell方程组
英文关键词: Maxwell equations(ME); Maxwell wave equation; Hansen functions; Proca equations; Proca wave equation; Expended Maxwell equations
基金项目:
姓名 单位
黄志洵 中国传媒大学信息工程学院
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中文摘要:

经典电磁场理论的核心是Maxwell电磁场方程组。它的每个公式都有实验事实的支持,数学逻辑严密自洽,在应用方面经受了长期考验;因此,其正确性无可怀疑。……但是,Maxwell方程组是由多个矢量化偏微分方程组成的,其严格求解不仅复杂而且困难,甚至难倒了数学家。此外,该方程组可能不够全面和完善,本文对此作了详细分析。 对于Proca电磁场方程组,我们持肯定的态度,认为它是对Maxwell方程组的补充和改善。文中推导了Proca波方程(PWE),结果是对称的。不知道Proca本人为何未作推导,本文弥补了这一缺陷。 对中国科学家最近提出的“扩展的Maxwell方程组”,本文认为应当重视并展开讨论。

英文摘要:

The core of classical electromagnetic field theory is Maxwell electromagnetic field equations. Each of its formulas is supported by experimental facts, and its mathematical logic is rigorous and self-consistent, which has been tested for a long time in application. Therefore its correctness is beyond doubt.… However, Maxwell equations are composed of several vectorized partial differential equations, and their strict solution is not only complicated and difficult, but even confounded mathematicians. In addition, the equations may not be comprehensive and perfect enough, which is analyzed in detail in this paper As for Proca's electromagnetic field equations, we bold a positive attitude and consider it as a supplement and improvement to Maxwell's equations. The Proca wave equation(PWE) is derived and the result is symmetric. it is not clear why Proca himself did not derive it.but this paper makes up for this deficiency. For the expanded Maxwell equations proposed by Chinese scientist recently, we think it should be emphasized and discussed in scientific community.

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