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Scalar potential

About: Scalar potential is a research topic. Over the lifetime, 3642 publications have been published within this topic receiving 78868 citations. The topic is also known as: potential.


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Journal ArticleDOI
TL;DR: In this paper, a grand-unified extension of the asymptotically safe Reuter fixed-point for quantum gravity is proposed, which determines free parameters of the grand unified scalar potential.
Abstract: If a grand-unified extension of the asymptotically safe Reuter fixed-point for quantum gravity exists, it determines free parameters of the grand-unified scalar potential. All quartic couplings take their fixed-point values in the trans-Planckian regime. They are irrelevant parameters that are, in principle, computable for a given particle content of the grand unified model. In turn, the direction of spontaneous breaking of the grand-unified gauge symmetry becomes predictable. For the flow of the couplings below the Planck mass, gauge and Yukawa interactions compete for the determination of the minimum of the effective potential.

20 citations

Book ChapterDOI
01 Feb 2017
TL;DR: In this article, a review of the present state-of-the-art for the problem of self-adjoint realisations for the Dirac operator with a Coulomb-like singular scalar potential is given.
Abstract: In this note we give a concise review of the present state-of-art for the problem of self-adjoint realisations for the Dirac operator with a Coulomb-like singular scalar potential V (x) = ϕ(x)I4. We try to follow the historical and conceptual path that leads to the present understanding of the problem and to highlight the techniques employed and the main ideas. In the final part we outline a few major open questions that concern the topical problem of the multiplicity of self-adjoint realisations of the model, and which are worth addressing in the future.

20 citations

Journal ArticleDOI
TL;DR: In this paper, the exact solutions of the D-dimensional radial equations with a Coulomb plus scalar potential taking the form 1/r are analytically presented by studying the Tricomi equations.
Abstract: We generalize the Dirac equation to D + 1-dimensional spacetime. The exact solutions of the D-dimensional radial equations with a Coulomb plus scalar potential taking the form 1/r are analytically presented by studying the Tricomi equations. The energies E(n, l, D) are exactly presented. The dependences of the energies E(n, l, D) on the dimension D are analyzed in some detail. The energies E(n, 0, D) first decrease and then increase when increasing dimension D, but the energies E(n, l, D) (l ≠ 0) increase when increasing dimension D. The energies E(n, 0, D) are symmetric with respect to D = 1 for D ∈ (0, 2). It is shown that the energies E(n, l, D) (l ≠ 0) are almost independent of the quantum number l for large D and are completely independent of it if the Coulomb potential is equal to the scalar one. The energies E(n, l, D) almost overlap for large D. The dependences of the energies E(n, l, v) and E(n, l, s) on the vector potential parameter v and scalar potential one s are also studied for D = 3. All are found to decrease when these parameters are increased. © 2004 Wiley Periodicals, Inc. Int J Quantum Chem, 2005

20 citations

01 Jan 1991
TL;DR: In this paper, the Coulomb's gauge is used for a unique solution in 30 magnetostatic field calculations in terms of the magnetic vector potential and the electric scalar potential, and the solution is rendered unique by use of the coulomb gauge together with a constraint equation on the eddy currents.
Abstract: The use of Coulomb's gauge is sufficient for a unique solution in 30 magnetostatic field calculations in terms of the magnetic vector potential A. For the sinusoidal steady-state eddy current problem Coulomb's gauge is not sufficient. The combination of Coulombs gauge and an eddy current constraint provides a simple way of guaranteeing uniqueness. A formulation for 3D electromagnetic fields utilizing this constraint is proposed. Results comparing the present formulation with other finite element formulations and with experimental data are given. electromagnetic fields. The magnetic vector potential and the electric scalar potential are used as variables and the solution is rendered unique by use of the coulomb gauge together with a constraint equation on the eddy currents, based on the continuity equation. The formulation is compared with other commonly used formulations, showing more accurate results. The implementation of the method with 8 node hexahedral, isoparametric finite elements is given here. Results are presented for a heating problem where losses in a conductor are calculated and for an eddy current nondestructive testing problem. In the later, the induced voltage in a sensing coil is calculated. These results show good agreement with experimental data.

20 citations

Journal ArticleDOI
TL;DR: In this article, a minimally-coupled inflationary theory with a general scalar potential V f ( φ ) = V ( ξ ∑ k = 1 n λ k φ k ) containing a stationary point of maximal order m was considered.

20 citations


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Performance
Metrics
No. of papers in the topic in previous years
YearPapers
202321
202238
2021137
2020149
2019147
2018147