Complex Maxwell's equations

doi:10.1088/1674-1056/22/3/030301

中国物理B ›› 2013, Vol. 22 ›› Issue (3): 30301-030301.doi: 10.1088/1674-1056/22/3/030301

Complex Maxwell's equations

A. I. Arbab

Department of Physics, Faculty of Science, University of Khartoum, Khartoum 11115, Sudan

收稿日期:2012-08-24 修回日期:2012-09-28 出版日期:2013-02-01 发布日期:2013-02-01

Complex Maxwell's equations

A. I. Arbab

Department of Physics, Faculty of Science, University of Khartoum, Khartoum 11115, Sudan

Received:2012-08-24 Revised:2012-09-28 Online:2013-02-01 Published:2013-02-01
Contact: A. I. Arbab E-mail:aiarbab@uofk.edu

摘要/Abstract

摘要： A unified complex model of Maxwell's equations is presented. The wave nature of electromagnetic field vector is related to the temporal and spatial distributions and the circulation of charge and current densities. A new vacuum solution is obtained. A new transformation under which Maxwell's equations are invariant is proposed. This transformation extends the ordinary gauge transformation to include charge-current besides scalar-vector potential. An electric dipole moment is found to be related to magnetic charges. The Dirac's quantization is found to determine an uncertainty relation expressing the indeterminacy of electric and magnetic charges. We generalize Maxwell's equations to include longitudinal waves. A formal analogy between this formulation and Dirac's equation is discussed.

关键词: Maxwell's equations, duality transformations, magnetic charge (monopole)

Abstract: A unified complex model of Maxwell's equations is presented. The wave nature of electromagnetic field vector is related to the temporal and spatial distributions and the circulation of charge and current densities. A new vacuum solution is obtained. A new transformation under which Maxwell's equations are invariant is proposed. This transformation extends the ordinary gauge transformation to include charge-current besides scalar-vector potential. An electric dipole moment is found to be related to magnetic charges. The Dirac's quantization is found to determine an uncertainty relation expressing the indeterminacy of electric and magnetic charges. We generalize Maxwell's equations to include longitudinal waves. A formal analogy between this formulation and Dirac's equation is discussed.

Key words: Maxwell's equations, duality transformations, magnetic charge (monopole)

中图分类号: (Classical electromagnetism, Maxwell equations)

03.50.De

04.20.Jb (Exact solutions)

A. I. Arbab. Complex Maxwell's equations[J]. 中国物理B, 2013, 22(3): 30301-030301.

A. I. Arbab. Complex Maxwell's equations[J]. Chin. Phys. B, 2013, 22(3): 30301-030301.

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Complex Maxwell's equations

Complex Maxwell's equations

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