scholarly journals Topological spin transport of photons: Magnetic monopole gauge field in Maxwell's equations and polarization splitting of rays in periodically inhomogeneous media

2005 ◽  
Vol 72 (3) ◽  
Author(s):  
K. Yu. Bliokh ◽  
V. D. Freilikher
Keyword(s):  
Gauge Field ◽  
Maxwell’S Equations ◽  
Maxwell's Equations ◽  
Spin Transport ◽  
Magnetic Monopole ◽  
Inhomogeneous Media ◽  
Polarization Splitting

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.

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
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