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A method is presented which allows the exact construction of conserved (i.e. divergence-free) current vectors from appropriate sets of multipole moments. Physically, such objects may be taken to represent the flux of particles or electric…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Abraham I. Harte

Boundary-dependent radiative corrections that modify the magnetic moment of an electron near a dielectric or conducting surface are investigated. Normal-mode quantization of the electromagnetic field and perturbation theory applied to the…

Quantum Physics · Physics 2013-02-12 Robert Bennett , Claudia Eberlein

A general formulation of the relativistic multipole moments in axistationary electrovac spacetimes is introduced in a closed analytical form. We give a complete description of how the Ernst potentials on the symmetry axis can be completely…

General Relativity and Quantum Cosmology · Physics 2024-05-09 Etevaldo dos Santos Costa Filho , Angelo guimarães , I. Cabrera-Munguia

We derive from Jefimenko's equations a multipole expansion in order to obtain the exact expressions for the electric and magnetic fields of an electric dipole with an arbitrary time dependence. A few comments are also made about the usual…

Classical Physics · Physics 2015-05-12 W. J. M. Kort-Kamp , C. Farina

A class of exact solutions of the Einstein-Maxwell equations is presented which contains infinite sets of gravitoelectric, gravitomagnetic and electromagnetic multipole moments. The multipolar structure of the solutions indicates that they…

General Relativity and Quantum Cosmology · Physics 2012-01-10 Hernando Quevedo

The quantum phase effects for induced electric and magnetic dipole moments are investigated. It is shown that the phase shift received by induced electric dipole has the same form with the one induced by magnetic dipole moment, therefore…

Quantum Physics · Physics 2016-08-30 Kai Ma

The multipole expansions for massive vector and symmetric tensor fields in the region outside spatially compact stationary sources are obtained by using the symmetric and trace-free formalism in terms of the irreducible Cartesian tensors,…

General Relativity and Quantum Cosmology · Physics 2023-07-05 Bofeng Wu

The behaviour of the interaction of the induced electric dipole moment of an atom with a uniform magnetic field and a non-uniform electric field are investigated in a rotating reference frame. An interesting aspect of this interaction is…

Quantum Physics · Physics 2019-03-08 K. Bakke , C. Salvador

Radiation from magnetic and electric dipole moments is a key subject in theory of electrodynamics. Although people treat the problem thoroughly in the context of frequency domain, the problem is still not well understood in the context of…

Classical Physics · Physics 2020-07-15 M. S. Mirmoosa , G. A. Ptitcyn , R. Fleury , S. A. Tretyakov

The definition of Komar for the mass of a relativistic source is used as a starting point to introduce volume integrals for Relativistic Multipole Moments (RMM). A certain generalization of the classical Gauss theorem is used to rewrite…

General Relativity and Quantum Cosmology · Physics 2016-11-23 J. L. Hernandez-Pastora , J. Martin , E. Ruiz

We express the baryon magnetic moments in terms of the baryon tensor charges, considering the quarks as relativistic interacting objects. Once tensor charges get measured accurately, the formula for the baryon magnetic moment will serve to…

High Energy Physics - Phenomenology · Physics 2007-05-23 M. Mekhfi

Using an integral definition to calculate the relativistic multipole moments (RMM), and the ensuing generalized relativistic Gauss theorem, we prove that the evaluation of that volume integral in Erez-Rosen coordinates, leads to a specific…

General Relativity and Quantum Cosmology · Physics 2022-03-16 J. L. Hernandez-Pastora

We study the multi-charged moments for two disjoint intervals in the ground state of two $1+1$ dimensional CFTs with central charge $c=1$ and global $U(1)$ symmetry: the massless Dirac field theory and the compact boson (Luttinger liquid).…

High Energy Physics - Theory · Physics 2022-12-27 Filiberto Ares , Pasquale Calabrese , Giuseppe Di Giulio , Sara Murciano

We consider electrodynamics on a noncommutative spacetime using the enveloping algebra approach and perform a non-relativistic expansion of the effective action. We obtain the Hamiltonian for quantum mechanics formulated on a canonical…

High Energy Physics - Theory · Physics 2009-11-11 Xavier Calmet , Michele Selvaggi

After a systematic introduction of some formulae for the energy radiated by localized electric charges and currents, one considers the multipole radiation and the reduction of the multipole tensors to the symmetric traceless ones.

Physics Education · Physics 2007-05-23 C. Vrejoiu , D. Nicmorus

Dipolar interactions govern the structure and dynamics of many soft-matter systems, from molecular to colloids assemblies. When dipole moments are induced by an external field, mutual interactions lead to a many-body magnetization response…

Soft Condensed Matter · Physics 2026-01-30 Lucas H. P. Cunha

The multipole moments are defined as the multipole expansion coefficients of the gravitational field at infinity. In Newtonian gravity, the multipole moments are determined by the source distribution -- the multipole integrals of the…

General Relativity and Quantum Cosmology · Physics 2021-10-20 Yu-Zhu Chen , Yu-Jie Chen , Shi-Lin Li , Wu-Sheng Dai

Atom-centered electric multipole moments can be extremely useful in chemistry as they enable the systematic mapping of a complex electrostatic problem to a simpler model. However, since they do not correspond to physical observables, there…

Chemical Physics · Physics 2025-11-05 Andrea Levy , Andrej Antalík , Jógvan Magnus Haugaard Olsen , Ursula Rothlisberger

We find a modified Bloch equation for the electronic magnetic moment when the magnetic moment explicitly contains a diamagnetic contribution (a magnetic field induced magnetic moment arising from the electronic orbital angular momentum) in…

Soft Condensed Matter · Physics 2009-11-07 B. Segev , Y. B. Band

Two field 2-forms on the space-time manifold, in a relationship of duality, are presented and included in the extended phase-space structure used to describe relativistic particles having both electric and magnetic charges. By exterior…

Mathematical Physics · Physics 2010-11-30 M. Grigorescu