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Vector potential derivation from scalar potentials
Electrical Engineering, 1952THE AUTHOR recently published Tables of Green's Functions1 for the solution of partial differential equations in rectangular co-ordinates. The Green's Functions, as given in those tables, include only scalar potentials. However, in dealing with the fields due to currents or permanent magnets, vector potentials usually are used.
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2011
In this chapter we introduce and develop the properties of the electrostatic scalar potential. This is the first of two potentials in classical field theory both of which appeared in the original work by Maxwell. We will find that these potentials are central to the theory replacing the fields in advanced topics. The fact that a scalar potential exists
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In this chapter we introduce and develop the properties of the electrostatic scalar potential. This is the first of two potentials in classical field theory both of which appeared in the original work by Maxwell. We will find that these potentials are central to the theory replacing the fields in advanced topics. The fact that a scalar potential exists
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American Journal of Physics, 1971
We obtain closed expressions for scalar magnetic potentials due to an arbitrary static current density J(x). Simple prescriptions are given for forbidden regions where B ≢ −∇ψ; these forbidden regions make the potential single valued where it can be used.
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We obtain closed expressions for scalar magnetic potentials due to an arbitrary static current density J(x). Simple prescriptions are given for forbidden regions where B ≢ −∇ψ; these forbidden regions make the potential single valued where it can be used.
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Scalar gravity and Higgs potential
International Journal of Theoretical Physics, 1990zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Dehnen, H., Frommert, H.
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Formulations via scalar potentials
2010As we have already remarked in the preceding chapters, a specific feature of eddy current problems is the presence of differential constraints acting in the non-conducting part of the domain: namely, curl H I =J e,I in Ω I and div (e I E I )=0 in Ω ...
Ana Alonso Rodríguez, Alberto Valli
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Post-Gaussian effective potential in scalar and scalar-fermion theories
Physical Review D, 1991The post-Gaussian effective potential (PGEP) of {lambda}{phi}{sup 4} theory is examined in detail for {ital d}=1, 2, and 3 space-time dimensions. The self-energy is computed in the post-Gaussian approximation in order to determine the physical mass and the wave-function renormalization.
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Scalar confinement potential in charmonium
Journal of Physics G: Nuclear and Particle Physics, 1991Relativistic corrections to energy shifts in charmonium arising from a scalar confining potential are calculated. These include v2/c2 effects from the non-relativistic reduction of r/a2 as well as retardation corrections. It is shown that these are sizable contributions which are likely to modify the potential model parameters obtained in scalar ...
Bhatt, G.C., Grotch, H., Zhang, X.
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Thermoelastodynamics with Scalar Potential Functions
Journal of Engineering Mechanics, 2014AbstractA linear thermoelastic isotropic material is considered. A complete solution in terms of three scalar potential functions for the coupled displacement-temperature equations of motion and heat equation is presented, where the governing equations for the potential functions are the wave, heat, or a repeated wave-heat equation.
Morteza Eskandari-Ghadi +3 more
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Scalar potentials in quantum electrodynamics
Nuclear Physics B - Proceedings Supplements, 1989Abstract The spatial part of the electromagnetic four-vector potential is decomposed by means of the generators L of spatial rotations and K of Lorentz boosts, A = L ψ+ K χ , where ψ, χ are scalar-valued functions. Therefore the three independent degrees of freedom in the Maxwell field are explicitly represented by three scalar ...
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1970
Let S be a scalar point-function which may be mapped out in space by a series of level surfaces, upon each of which the scalar has a definite but different constant value. These surfaces divide up the region of space into a series of layers or laminae. Associated therewith is a vector field Vs directed everywhere normal to the level surfaces, i.e.
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Let S be a scalar point-function which may be mapped out in space by a series of level surfaces, upon each of which the scalar has a definite but different constant value. These surfaces divide up the region of space into a series of layers or laminae. Associated therewith is a vector field Vs directed everywhere normal to the level surfaces, i.e.
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