| 三种度规下Maxwell方程的双矢势对偶理论 |
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| 引用本文： | 王剑华,王立,牛超英.三种度规下Maxwell方程的双矢势对偶理论[J].咸阳师范学院学报,2003,18(2):16-18. |
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| 作者姓名： | 王剑华 王立 牛超英 |
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| 作者单位： | 1. 陕西理工学院,陕西,汉中,723000
2. 咸阳师范学院,陕西,咸阳,712000 |
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| 摘 要： | 介绍了电磁场双四维矢势的概念，讨论了三种度规下引入双矢势后电磁场张量的特性，给出了具有电磁对偶性的Maxwell方程。在有源情况下引入磁单极，利用电磁场的双矢势表述可以避开Dirac奇异弦得到具有电磁对偶性的电磁场方程。最后给出了有磁单极存在时具有S0(2)对称性的d'A1emben方程及推迟解。
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| 关 键 词： | 电磁对偶 Maxwell方程 双矢势对偶理论 电磁场 磁单极 Pauli度规 Feyman度规 Minkowski度规 |
| 文章编号： | 1672-2914(2003)02-0016-03 |
| 修稿时间： | 2003年1月3日 |
Two Potential Duality Theory of Maxwell Equation under Three Metrics |
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| WANG Jian-hua,WANG Li,NIU Chao-ying.Two Potential Duality Theory of Maxwell Equation under Three Metrics[J].Journal of Xianyang Normal University,2003,18(2):16-18. |
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| Authors: | WANG Jian-hua WANG Li NIU Chao-ying |
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| Institution: | WANG Jian-hua1,WANG Li2,NIU Chao-ying2 |
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| Abstract: | In this paper, we introduce two 4-dimensional potentials for electromagnetic (EM) field, discuss the properties of EM tensor under three metrics, and then give out the EM duality symmetric Maxwell equations. In the case of existing source, we introduce magnetic monopole, and because we have two potentials expressions, we can obtain EM duality electromagnetic field equations without the concept of Dirac string. Finaly, we get the SO(2) symmetric d'Alembert equations and their retarded solutions in the presence of magnetic monopole. |
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| Keywords: | EM duality Maxwell equation Metric Two potentials |
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