scholarly journals Maxwell’s equations in the context of the Fock transformation and the magnetic monopole

2017 ◽  
Vol 95 (10) ◽  
pp. 987-992 ◽  
Author(s):  
N. Takka ◽  
A. Bouda ◽  
T. Foughali
Keyword(s):  
Angular Momentum ◽  
Coordinate Transformation ◽  
Maxwell’S Equations ◽  
Maxwell's Equations ◽  
Magnetic Monopole ◽  
Poisson Brackets ◽  
Extended Form ◽  
Dirac Monopole ◽  
Lorentz Algebra ◽  
Minkowski Space Time

In the R-Minkowski space–time, which we recently defined from an appropriate deformed Poisson brackets that reproduce the Fock coordinate transformation, we derive an extended form for Maxwell’s equations by using a generalized version of Feynman’s approach. Also, we establish in this context the Lorentz force. As in deformed special relativity, modifying the angular momentum in such a way as to restore the R-Lorentz algebra generates the magnetic Dirac monopole.

Essentials of Electricity and Magnetism

2019 ◽  
pp. 3-42
Author(s):  
Richard Freeman ◽  
James King ◽  
Gregory Lafyatis
Keyword(s):  
Angular Momentum ◽  
Steady State ◽  
Electromagnetic Radiation ◽  
Electric Fields ◽  
Maxwell’S Equations ◽  
Maxwell's Equations ◽  
Electromagnetic Energy ◽  
Time Dependent ◽  
Time Varying ◽  
Electricity And Magnetism

A review of the basic elements of electricity and magnetism is presented with an introduction to Maxwell’s equations for steady-state in a vacuum. The modifications to these equations necessary to account for time varying sources are shown to produce to a causal unification of magnetic and electric fields. The application of Maxwell’s equations in the presence of matter leads to the concepts of electric and magnetic polarization of matter. Electromagnetic radiation arises directly from Maxwell’s time-dependent equations and the basic response of materials to this radiation is discussed. Finally, electromagnetic conservation laws are derived, including electromagnetic energy and linear and angular momentum.

scholarly journals MAGNETIC MONOPOLE AND THE FINITE PHOTON MASS: ARE THEY COMPATIBLE?

1996 ◽  
Vol 11 (35) ◽  
pp. 2735-2741 ◽  
Author(s):  
A. YU. IGNATIEV ◽  
G.C. JOSHI
Keyword(s):  
Angular Momentum ◽  
Gauge Invariance ◽  
Magnetic Monopole ◽  
Magnetic Charge ◽  
Quantization Condition ◽  
Photon Mass ◽  
Dirac Monopole ◽  
Massive Photon ◽  
Dirac Quantization ◽  
Angular Momentum Algebra

We analyze the role played by the gauge invariance for the existence of Dirac monopole. To this end, we consider the electrodynamics with massive photon and ask if the magnetic charge can be introduced there. We show that the derivation of the Dirac quantization condition based on the angular momentum algebra cannot be generalized to the case of massive electrodynamics. Possible implications of this result are briefly discussed.

scholarly journals Exact form of Maxwell’s equations and Dirac’s magnetic monopole in Fock’s nonlinear relativity

2018 ◽  
Vol 33 (30) ◽  
pp. 1850173 ◽  
Author(s):  
N. Takka ◽  
A. Bouda
Keyword(s):  
Maxwell’S Equations ◽  
Maxwell's Equations ◽  
Magnetic Monopole ◽  
Magnetic Charge ◽  
Minkowski Spacetime ◽  
Exact Form ◽  
Formal Approach ◽  
Noncommutative Algebra ◽  
First Approximation ◽  
The Universe

After having obtained previously an extended first approximation of Maxwell’s equations in Fock’s nonlinear relativity, we propose here the corresponding exact form. In order to achieve this goal, we were inspired mainly by the special relativistic version of Feynman’s proof from which we constructed a formal approach more adapted to the noncommutative algebra. This reasoning lets us establish the exact form of the generalized first group of Maxwell’s equations. To deduce the second one, we have imposed the electric–magnetic duality. As in the k-Minkowski spacetime, the generalized Lorentz force depends on the mass of the particle. After having restored the R-Lorentz algebra symmetry, we have used the perturbative treatment to find the exact form of the generalized Dirac’s magnetic monopole in our context. As consequence, the Universe could locally contain the magnetic charge but in its totality it is still neutral.

Sumudu Applications to Maxwell's Equations

PIERS Online ◽  
2009 ◽  
Vol 5 (4) ◽  
pp. 355-360 ◽  
Author(s):  
Fethi Bin Muhammad Belgacem
Keyword(s):  
Maxwell’S Equations ◽  
Maxwell's Equations

Maxwell’s Equations versus Newton’s Third Law

2018 ◽  
Author(s):  
Glyn Kennell ◽  
Richard Evitts
Keyword(s):  
Electric Fields ◽  
Maxwell’S Equations ◽  
Maxwell's Equations ◽  
Simulated Data ◽  
Numerical Data ◽  
Transport Equations ◽  
Concentration Gradients ◽  
Third Law

The presented simulated data compares concentration gradients and electric fields with experimental and numerical data of others. This data is simulated for cases involving liquid junctions and electrolytic transport. The objective of presenting this data is to support a model and theory. This theory demonstrates the incompatibility between conventional electrostatics inherent in Maxwell's equations with conventional transport equations. <br>

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