Showing papers on "Scalar potential published in 1973"
TL;DR: In this article, the electrodynamics of a compressible charged layer placed in a uniform rigid neutralizing background is studied with a hydrodynamic description, and the resulting plasma oscillations and screening differ considerably from those in bulk media.
253 citations
TL;DR: In this article, the scalar potential in the expression for the electric field in a quadrupole mass filter was discussed and it was shown that a rectangularly time-varying function is chosen for this potential, which is free of some of the technological limitations which hinder its usefulness in high precision applications.
81 citations
TL;DR: A time-dependent numerical model of the astron, with which injection and trapping can be studied in detail, has been developed in this paper, where the effects due to resistors and neutralization have been included.
12 citations
TL;DR: The Dirac-Coulomb Hamiltonian with a simple modification of the scalar potential corresponding to switching off the interaction of the "small components" is solved by a new "squaring" procedure and is shown to describe a system possessing O(4) symmetry as mentioned in this paper.
Abstract: The Dirac-Coulomb Hamiltonian with a simple modification of the scalar potential corresponding to switching off the interaction of the "small components" is solved by a new "squaring" procedure and is shown to describe a system possessing O(4) symmetry. The new realization of the generators of the corresponding O(4,2) dynamical group shows a nontrivial but natural mixing of the space and spin coordinates in which the total angular momentum replaces the usual orbital angular momentum.
9 citations
TL;DR: In this paper, a new way of going to the infinite volume thermodynamic limit for a finite density quantum system and applying it to the case of an ideal Boson gas was considered.
Abstract: We consider a new way of going to the infinite volume thermodynamic limit for a finite density quantum system and apply it to the case of an ideal Boson gas. We describe two procedures for calculating the particle density in the thermodynamic limit, one local and one global, and show that they give different values for the density. Further calculations show that this discrepancy is caused by lack of macroscopic translation invariance of the system, which is not apparent at the microscopic level. We calculate the limiting value of the expectation function of the Weyl operators both above and below the critical density for Bose-Einstein condensation, and show that the condensate has paradoxical properties of a similar type to those recently discovered for the rotating Boson gas.
8 citations
TL;DR: In this paper, two models are presented to account for the presence of a ferromagnetic medium, where the magnetic material is replaced by an equivalent dipole distribution which gives rise to an integral equation for the scalar potential.
Abstract: Integral equations are shown to offer definite advantages over conventional finite difference techniques for solving magnetic field problems. In Part I of this paper two models are presented to account for the presence of a ferromagnetic medium. In the first model the magnetic material is replaced by an equivalent dipole distribution which gives rise to an integral equation for the scalar potential. The model is limited to problems involving nonmagnetic current carrying conductors. The second model uses a current distribution to represent the magnetic material. Therefore, it is not subject to the restrictions of the dipole model. Numerical solution of the resulting integral equation in both models is discussed. The technique offers considerable flexibility in the choice of the mesh size and shape. Also, geometries involving narrow air gaps and/or sharp corners are easily accommodated.
8 citations
TL;DR: In this paper, which constitutes the second part of a series, the purely formal, as well as the biological consequences of the fundamental decomposition are considered.
Abstract: Fundamental decomposition of the equation of chemical flux of the exhaustive equivalent classes of open, as well as closed, kinetic systems asymptotically stable with respect to a unique steady-state, gives rise to two flux components of which one can be shown to be strictly decrescent, the other being strictly conservative, with respect to the scalar potential V(x) of the stability constraint specification generating the equivalent classes. In this paper, which constitutes the second part of a series, the purely formal, as well as the biological consequences of the fundamental decomposition are considered.
5 citations
TL;DR: In this paper, the authors used the Noether theorem on invariant variational problems to deduce the general form of a Lagrangian which has specified invariance properties under the Galilean group as the Lagrangians for the n-body problem.
4 citations
2 citations
01 Jan 1973
TL;DR: In this article, an analytical solution of the Maxwell's equations for a simplified model of a solid-rotor induction motor is presented for the case of zero air gap and a consistent approximation for arbitrary air gap.
Abstract: An analytical solution of Maxwell's equations is presented for a simplified model of a solid-rotor induction motor in order to study the effect of finite length. Two kinds of solution are derived. The first is an exact solution for the case of zero air gap and the second one is a consistent approximation for the case of arbitrary air gap. List of symbols A vector potential B magnetie-flux density E electric-field strength H magnetising force j current density K line density of current sheet k wavenumber of current sheet in the x-direction L rotor length R rotor radius !X/kL correction factor for finite-length effecton the torque # magnetic permeability #r relative permeability cf> scalar potential (1 conductivity
1 citations
TL;DR: In this article, the connection between the locality of the interpolating and asymptotic fields in case of scalar and vector particles is studied in the case of vector particles.
Abstract: The connection between the locality of the interpolating and asymptotic fields is studied in case of scalar and vector particles.
TL;DR: In this paper, a method for the numerical solution by computer of three-dimensional magnetostatic boundary value problems (linear and non-linear), based on a finite-difference approximation for a rectangular grid of the integral form of Maxwell's equations, is described.
Abstract: A method is described for the numerical solution by computer of three-dimensional magnetostatic boundary value problems (linear and non-linear), based on a finite-difference approximation for a rectangular grid of the integral form of Maxwell's equations. A modified scalar potential is regarded as the unknown function. Its essential advantages for three-dimensional fields are pointed out. The method is illustrated by specific examples. The results of the numerical simulation are compared with data of magnetic measurements.
TL;DR: It has been shown that no gravitational interaction is possible with a massive scalar field for a special class one metric as mentioned in this paper, and it has been proved that such interaction is not possible for any special metric.
Abstract: It has been extablished that no gravitational interaction is possible with a massive scalar field for a special ‘class one’ metric.
TL;DR: In this article, the authors used Latin indices for the base tensor Xj and Greek indices for X~ = ~ / ~ #'s for the affine connexion.
Abstract: ~(X~) = ~ . The quantities h~, Ak~ are usually called in physics (~-~) the components of the vierbein and of the local affine connexion, respectively. In addition, the convention is n,ade of using Latin indices for the base Xj and Greek indices for X~ = ~ / ~ # ' . I t should also be mentioned that frequently in general relat ivi ty the components of the metric tensor g/~ and of the affine connexion F~pr are used instead, which are related to h~, Akj~ by the equalities (4) g,~ = h i , h i , , F~l,~ = __ hi ( ~ h i ~ AJ i~h~) .