Showing papers on "Scalar potential published in 1974"
TL;DR: In this article, the magnetic field near the Earth was calculated by integrating over the entire tail current system assuming the magnetotail is a cylinder of constant radius and that the tail current decreases with distance into the tail as |x| −1 3.
26 citations
TL;DR: In this paper, the one-loop quantum-corrected effective potential in self-coupled scalar field theory is derived using the Dyson-Schwinger equation.
Abstract: The recent result of Coleman and Weinberg deriving the one-loop quantum-corrected effective potential in a self-coupled scalar field theory is rederived using the Dyson-Schwinger equation.
23 citations
TL;DR: In this paper, it was shown that in the case of a neutral scalar meson field, a geometrical lagrangian exists which yields the Einstein equations for such a field.
Abstract: A lagrangian derivation of the field equations expressing the gravitational effect of a non-gravitational field usually necessitates the introduction of a field external to the geometry. It is shown, that in the case of a neutral scalar meson field, a geometrical lagrangian exists which yields the Einstein equations for such a field. The result is singular in that the method used here could not be used to derive a geometrical lagrangian for any other nongravitational field.
12 citations
6 citations
Patent•
01 Nov 1974TL;DR: A magnet structure having a pair of spaced pole pieces interconnected by a reluctor circuit comprising an operatively aligned array of soft magnetic members suitably spaced apart by interposed nonmagnetic material to provide between the pole pieces a preferred magnetic scalar potential and an associated magnetic flux distributed as desired over a relatively large volume adjacent the array.
Abstract: A magnet structure having a pair of spaced pole pieces interconnected by a reluctor circuit comprising an operatively aligned array of soft magnetic members suitably spaced apart by interposed nonmagnetic material to provide between the pole pieces a preferred magnetic scalar potential and an associated magnetic flux distributed as desired over a relatively large volume adjacent the array.
3 citations
3 citations
TL;DR: In this article, a modified three-dimensional seven-point finite-difference operator was proposed to solve the Poisson's equation in inhomogeneous static magnetic media for the magnetic vector potential and the magnetic scalar potential.
Abstract: Poisson's equation in inhomogeneous static magnetic media is derived for the magnetic vector potential and for the magnetic scalar potential. A modified three-dimensional seven-point finite-difference operator to be used in numerical solutions is presented. The special case of discrete inhomogeneity as discussed.
2 citations
TL;DR: In this paper, an analytic expression for the scalar potential in axially symmtric systems is proposed, which applies whenever the field form in the symmetry plane is known, and is obtained as an extension of earlier solutions carried out by various authors.
1 citations
TL;DR: In this paper, the superoperator theory of nonequilibrium statistical mechanics is applied to the neutral scalar field with a fixed source and the dressing operator χ is derived and verified.