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Use of Dirac monopoles formalism in some magnetism problems

Authors: Aliev I.N., Kopylov I.S. Published: 24.12.2015
Published in issue: #6(63)/2015  
DOI: 10.18698/1812-3368-2015-6-25-39

 
Category: Physics  
Keywords: magnetic monopoles, Maxwell equations, magnetostatics, magneto-dynamics

The paper gives a detailed description of the magnetic field in terms of magnetic charges. There are differences in understanding intensity and induction as two magnetic field characteristics in a substance. The introduction of a term magnetic scalar potential’ is thoroughly explained. The authors describe some limitations in the use of SI system of units in electromagnetism in comparison with the classical absolute systems of units. Some problems of magnetostatics are presented, which are solved with the help of such terms as a magnetic scalar potential and magnetic charges. In particular, the magnetic scalar potentials are determined both for the field produced by a magnetizedflexible thin filament and the field of a magnet representing a thin flexible plate. In calculating the latter, an estimation of a solid angle gradient is performed. The authors also discussed the correlation between the magnetic field characteristics and the possibility of their experimental registration. Maxwell equations are modified considering the current density of both magnetic and polarized electric charges. The obtained equations are reduced to a complex symmetric form. The drawbacks of this approach are discussed.

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