Topic
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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TL;DR: In this paper, the effective theory of Calabi-Yau compactifications with fluxes in type II theories is studied and the scalar potential for a generic electric Abelian gauging of the Heisenberg algebra, underlying all possible gaugings of R-R isometries, is presented and shown to exhibit, in some circumstances, a "dual" no-scale structure under the interchange of hypermultiplets and vector multiplets.
44 citations
TL;DR: In this paper, it was shown that the hydrodynamic degrees of the adiabatic pulsations of relativistic fluids (e.g., accretion disks or rotating stars) can be described by a single scalar potential.
Abstract: It is shown that the hydrodynamic degrees of the adiabatic pulsations of relativistic fluids (e.g., accretion disks or rotating stars) can be described by a single scalar potential. When the gravitational perturbations are neglected, the Cowling approximation, this potential is determined by a second-order (typically elliptic) partial differential equation. A variational principle is developed from which the pulsation frequencies may be evaluated in this approximation. For objects like accretion disks in which self-gravitational effects are negligible, this approximation becomes an exact description of the pulsations
44 citations
TL;DR: In this article, the authors define the two dimensional Pauli operator and identify its core for magnetic fields that are regular Borel measures and extend the Aharonov-Casher theorem for magnetic field that are measures with finite total variation.
Abstract: We define the two dimensional Pauli operator and identify its core for magnetic fields that are regular Borel measures The magnetic field is generated by a scalar potential hence we bypass the usual A∈L
2
loc condition on the vector potential, which does not allow to consider such singular fields We extend the Aharonov–Casher theorem for magnetic fields that are measures with finite total variation and we present a counterexample in case of infinite total variation One of the key technical tools is a weighted L
2 estimate on a singular integral operator
44 citations
01 Sep 1991
TL;DR: In this paper, a scalar electromagnetic finite element with the time integral of electric scalar potential as their nodal variable is presented, which can be easily combined with two-dimensional or three-dimensional elements, with three components of magnetic vector potential and the Time Integral of Electric Scalar Potential (TIP) as nodal variables.
Abstract: New zero-dimensional or scalar electromagnetic finite elements, that have the time integral of electric scalar potential as their nodal variable are presented. There are three zero-dimensional element types, representing resistors, capacitors, and inductors. These elements can be easily combined with two- or three-dimensional elements, with three components of magnetic vector potential and the time integral of electric scalar potential as nodal variables. Constant current sources are directly modeled by inhomogeneous Neumann excitations, and constant voltage sources are modeled by use of Norton's theorem. By the addition of dependent current and voltage sources, electronic circuits can be modeled. Example finite-element analyses include an R-L circuit, a transistor circuit driving a wire loop modeled with three-dimensional finite elements, and a circuit impedance on the secondary of a saturable three-dimensional transformer model. >
44 citations
TL;DR: In this article, the authors studied the evolution of a coherently oscillating scalar field with Z 2 symmetry and showed that the energy density of the coherent oscillation can be efficiently dissipated if the coupling constant is larger than the critical value, even though the scalar particle is stable due to the symmetry.
Abstract: The evolution of a coherently oscillating scalar field with $Z_2$ symmetry is studied in detail. We calculate the dissipation rate of the scalar field based on the closed time path formalism. Consequently, it is shown that the energy density of the coherent oscillation can be efficiently dissipated if the coupling constant is larger than the critical value, even though the scalar particle is stable due to the $Z_2$ symmetry.
44 citations