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The interaction energy of a given distribution of electric charges and currents with an electromagnetic external field is expressed by the Cartesian components of the multipole tensors of this distribution. Special attention is paid to the…

物理教育 · 物理学 2007-05-23 C. Vrejoiu

Optical properties of natural or designed materials are determined by the electromagnetic multipole moments that light can excite in the constituent particles. In this work we present an approach to calculate the multipole excitations in…

光学 · 物理学 2012-09-20 P. Grahn , A. Shevchenko , M. Kaivola

We outline here a simple mathematical introduction to the notions of multipoles for a general extensive property $\Pi$ from the point of view of continuum mechanics. Classically, $\Pi$ is the electric charge, but the theory is not limited…

数学物理 · 物理学 2025-05-27 Vladimir Gol'dshtein , Reuven Segev

Particle accelerators use powerful and complex magnetic fields to turn, shape, and eventually collide beams of near-light-speed particles, yet the fundamental magnetic principles behind the accelerator magnets can be understood by…

加速器物理 · 物理学 2023-05-29 Kelley D. Sullivan , Antara Sen , M. C. Sullivan

Electric and magnetic multipole densities in crystalline solids, including the familiar electric dipole density in ferroelectrics and the magnetic dipole density in ferromagnets, are of central importance for our understanding of ordered…

材料科学 · 物理学 2025-10-03 R. Winkler , U. Zülicke

In this paper analytical expressions are derived to describe the spin motion of a particle in magnetic and electric fields in the presence of an axion field causing an oscillating electric dipole moment (EDM). These equations are used to…

In the present work, we study the classical behavior of an electric dipole in presence of an external uniform magnetic field. We derive equations and constants of motion from the Lagrangian formulation. We obtain an infinitely periodic…

经典物理 · 物理学 2009-11-11 Paulina I. Troncoso , Sergio Curilef

Optical spectropolarimeters can be used to produce maps of the surface magnetic fields of stars and hence to determine how stellar magnetic fields vary with stellar mass, rotation rate, and evolutionary stage. In particular, we now can map…

太阳与恒星天体物理 · 物理学 2015-05-20 S. G. Gregory

We compute the expectations of the squares of the electric and magnetic fields in the vacuum region outside a half-space filled with a uniform non-dispersive dielectric. This gives predictions for the Casimir-Polder force on an atom in the…

高能物理 - 理论 · 物理学 2008-11-26 Adam D. Helfer , Andrew S. I. D. Lang

The electromagnetic field can be expressed in terms of two complex potentials $ \alpha, \beta ,$ which are related to the Debye potentials. The evolution equations for these potentials are derived, which are separable either in parabolic…

经典物理 · 物理学 2009-11-10 Shaun N. Mosley

We study the dipole moments, electric dipole moment, weak electric dipole moment, anomalous magnetic moment, anomalous weak magnetic moment, of fermions in the noncommutative extension of the SM. We observe that the noncommutative effects…

高能物理 - 唯象学 · 物理学 2014-11-17 E. Iltan

Magneto-oscillations of the electric dipole moment are predicted and analyzed for a single-electron nanoscale ring pierced by a magnetic flux (an Aharonov-Bohm ring) and subjected to an electric field in the ring's plane. These oscillations…

介观与纳米尺度物理 · 物理学 2012-09-11 A. M. Alexeev , M. E. Portnoi

We give a pedagogical introduction to two aspects of magnetic fields in the early universe. We first focus on how to formulate electrodynamics in curved space time, defining appropriate magnetic and electric fields and writing Maxwell…

宇宙学与河外天体物理 · 物理学 2014-11-20 Kandaswamy Subramanian

The planets magnetic field has been explained based on the dynamo theory, which presents as many difficulties in mathematical terms as well as in predictions. It proves to be extremely difficult to calculate the dipolar magnetic moment of…

地球与行星天体物理 · 物理学 2016-07-04 Hector Javier Durand-Manterola

By modeling a linear, anisotropic and inhomogeneous magnetodielectric medium with two independent set of harmonic oscillators, electromagnetic field is quantized in such a medium. The electric and magnetic polarizations of the medium are…

量子物理 · 物理学 2009-08-18 M. Amooshahi , F. Kheirandish

Like many other physical quantities, the optical force can be expanded using multipole expansion, which has been done in [Nat. Photon. 5, 531], up to electric octupole order. However, in that study, the existence of radiation multipoles…

光学 · 物理学 2018-01-17 Yikun Jiang , Jack Ng , Zhifang Lin

The equations for phase transitions temperatures, order parameters and critical concentrations of components have been derived for mixed ferroelectrics. The electric dipoles randomly distributed over the system were considered as a random…

材料科学 · 物理学 2007-05-23 M. D. Glinchuk , E. A. Eliseev , V. A. Stephanovich , L. Jastrabik

We show that for asymptotically vanishing Maxwell fields in Minkowski space with non-vanishing total charge, one can find a unique geometric structure, a null direction field, at null infinity. From this structure a unique complex analytic…

广义相对论与量子宇宙学 · 物理学 2009-11-11 Carlos N. Kozameh , Ezra T. Newman

Several noncovariant formulations of the electromagnetic self-force of extended charged bodies, as have been developed in the context of classical models of charged particles, are compared. The mathematical equivalence of the various…

经典物理 · 物理学 2015-06-15 P. W. Smorenburg , L. P. J. Kamp , O. J. Luiten

Dirac equation for the finite dipole potential is solved by the method of the join of the asymptotics. The formulas for the near continuum state energy term of a relativistic electron-dipole system are obtained analytically. Two cases are…

高能物理 - 理论 · 物理学 2016-09-06 V. I. Matveev , M. M. Musakhanov , D. U. Matrasulov