Complex Maxwell's equations

被引：11

作者：

Arbab, A. I. ^{[1
]}

机构：

[1] Univ Khartoum, Dept Phys, Fac Sci, Khartoum 11115, Sudan

来源：

CHINESE PHYSICS B | 2013年 / 22卷 / 03期

关键词：

Maxwell's equations; duality transformations; magnetic charge (monopole); TRANSFORMATIONS;

D O I：

10.1088/1674-1056/22/3/030301

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A unified complex model of Maxwell's equations is presented. The wave nature of the 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, and a new transformation under which Maxwell's equations are invariant is proposed. This transformation extends ordinary gauge transformation to include charge-current as well as scalar-vector potential. An electric dipole moment is found to be related to the magnetic charges, and 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 also discussed.

引用

页数：6

共 20 条

[1] Entanglement control in an anisotropic two-qubit Heisenberg XYZ model with external magnetic fields [J].

Abliz, Ahmad ;

Gao, H. J. ;

Xie, X. C. ;

Wu, Y. S. ;

Liu, W. M. .

PHYSICAL REVIEW A, 2006, 74 (05)

[2] Duality in a fermionlike formulation for the electromagnetic field [J].

Abreu, EMC ;

Hott, M .

PHYSICAL REVIEW D, 2000, 62 (02) :1-4

[3] SIGNIFICANCE OF ELECTROMAGNETIC POTENTIALS IN THE QUANTUM THEORY [J].

AHARONOV, Y ;

BOHM, D .

PHYSICAL REVIEW, 1959, 115 (03) :485-491

[4]

[Anonymous], 1964, RELATIVISTIC QUANTUM

[5]

Arbab Arbab I., 2009, Progress in Physics, V2, P8

[6]

Arbab Arbab I., 2010, Journal of Electromagnetic Analysis and Applications, V2, P457, DOI 10.4236/jemaa.2010.28060

[7] The mass-extended 't Hooft-Nobbenhuis complex transformations and their consequences [J].

Arbab, A. I. ;

Widatallah, H. M. .

EPL, 2010, 92 (02)

[8]

Arbab AI, 2012, J Mod Phys, V3, P163, DOI [10.4236/jmp.2012.32022, DOI 10.4236/JMP.2012.32022]

[9] On the Generalized Continuity Equation [J].

Arbab, Arbab I. ;

Widatallah, Hisham M. .

CHINESE PHYSICS LETTERS, 2010, 27 (08)

[10] Beams of electromagnetic radiation carrying angular momentum: The Riemann-Silberstein vector and the classical-quantum correspondence [J].

Bialynicki-Birula, Iwo ;

Bialynicka-Birula, Zofia .

OPTICS COMMUNICATIONS, 2006, 264 (02) :342-351

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