Maxwell's field equations
Unification of Electromagnetism and Gravitation
... Maxwell’s field equations and the classical physics that flows from them are derivable from the fundamental equations (1) through (4), at this point it is not obvious that the same can be said of ...
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Fermions Confinement to a 4-Dimensional Universe is the Source for Dark Matter
... electromagnetic field bivector depends on only three independent complex components whereas the Dirac spinor depends on ...Dirac’s equations into each ...
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The dual continuity equations
... electromagnetic field is represented by a complex number, the current and charge densities were ...continuity equations are obtained and their solution is ...scalar equations, and two vector ...
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Maxwell’s Dynamical Philosophy: An Early Solution to the Problem of a Discrepancy between Particles and Waves
... a field theory of Electromagnetism and to a Gas Kinetic theory, I believe that I may consistently support the point that by this DA Maxwell intended to bridge the gap between fields and particles, the two ...
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Field line solutions of the Maxwell equations using the 3+1 formalism for general relativity
... In this chapter we’ll take a look at some concrete cases of different dimen- sional manifolds in order to get a better understanding of the formalism and notation we use. Most of the calculations of the large expressions ...
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Well Behaved Class of Charge Analogue of Durgapal’s Relativistic Exact Solution
... Einstein-Maxwell field equations, not many realistic well behaved, analytic solutions are known for the description of relativistic charge fluid ...
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On Maxwell Equations for Gravitational Field
... and Maxwell tensors in electric and magnetic parts ...the equations to describe the gravitational field as a Maxwell-like type of ...electrodynamics equations appeared long time ago ...
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Modeling the interaction of light with photonic structures by direct numerical solution of Maxwell's equations
... Due to the limited computational resources, only a finite amount of mem- ory (RAM) can be allocated for the E ~ and H ~ fields values of the spatial com- putational grid described in Chapter 5. In other words, the bulk ...
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Class of Charged Fluid Balls in General Relativity
... Einstein-Maxwell field equations with reference to the general relativistic prediction of gravitational ...Einstein-Maxwell field equations for static ball of charged coherent ...
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A Global Solution of the Einstein Maxwell Field Equations for Rotating Charged Matter
... A stationary axially symmetric exterior electrovacuum solution of the Einstein-Maxwell field equations was obtained. An interior solution for rotating charged dust with vanishing Lorentz force was ...
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Anomalous Maxwell equations for inhomogeneous chiral plasma
... continuity equations, supplemented by the appropriate quantum anomaly ...electric field and the gradient ∂μ 5 = ∂x ...electric field and the gradient of the chemical ...
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Schwarz methods for second order Maxwell equations in 3D with coefficient jumps
... for Maxwell equa- tions gets faster when the jump increases, the method benefits from the jumps! In the first part of Theorem 2, the convergence is independent of the jump in the coef- ficients, and in all these ...
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CSLS Chapter 01
... • Give an introduction about the frequency spectrum space and microwave communication.. • Understand the electric and magnetic wave equations (Maxwell ’ s equation).[r] ...
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Fluid State of Dirac Quantum Particles
... ψ = ∂ ψ ∂ ∂ [25]. Even though elementary particles may have the geometric and topological structures of a 3D differenti- able manifold, it is seen from the above descriptions via the Schrödinger wave equation and Dirac ...
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Well Behaved Charge Analogues of Wyman-Adler Exact Solution for a Self-Bound Star
... electric field which generated by charge distributions situated neighbor surfaces of strange quark ...electric field, in the case of neutron star, is ...
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Exact solutions and transformation properties of nonlinear partial differential equations from general relativity
... -iiiABSTRACT Various families of exact solutions to the Einstein and Einstein-Maxwell field equations of General Relativity are treated for situations of sufficient symmetry that only tw[r] ...
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Method of Homogenization for the Study of the Propagation of Electromagnetic Waves in a Composite Part 1: Modeling, Scaling, Existence and Uniqueness Results
... fuselage and we study the behavior of the electromagnetic wave in the domain filled by the composite material, rep- resenting the skin aircraft, and the air. We build the 3D model, under simplifying assumptions, using ...
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Modifying the theory of gravity by changing independent variables
... However, one can consider a more natural unification. Namely, let us extended local symmetry group from S O(1, 3) ≈ S L(2, C) to GL(2, C). For the simplicity, let us consider Weyl spinor χ A (here and below ...
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Maxwell Equations with Accounting of Tensor Properties of Time
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On Group Invariant Solutions to the Maxwell Dirac equations
... di¤erential equations, the very notion through which Lie groups were discovered by Lie ...di¤erential equations that produce other solutions of the same equations is called a transformation group of ...
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