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The retarded Green function of the electromagnetic field in spacetime of a straight thin cosmic string is found. It splits into a geodesic part (corresponding to the propagation along null rays) and to the field scattered on the string.…

广义相对论与量子宇宙学 · 物理学 2009-11-11 Pavel Krtous

When exploring equations of nonlinear electrodynamics in effective medium formed by mutually parallel external electric and magnetic fields, we come to special static axial-symmetric solutions of two types. The first are comprised of fields…

高能物理 - 理论 · 物理学 2023-11-29 T. C. Adorno , D. M. Gitman , A. E. Shanad

The method of image charges is a powerful and elegant technique in electrostatics, commonly used to determine the electric field generated by point charges near conductors of various shapes. While standard problems focus on single charges…

经典物理 · 物理学 2025-12-02 Farhang Loran , Saman Moghimi-Araghi

The total linear electromagnetic field momentum $\mathbf P_{\mathrm{em}}$ of a stationary electric dipole $\mathbf p$ in a static magnetic field $\mathbf B$ is considered. The expression $\mathbf P_{\mathrm{em}} = \frac12\mathbf B \times…

经典物理 · 物理学 2015-09-22 Ben Yu-Kuang Hu

We make a general derivation for the magnetic dipole-dipole interaction based on the mediation of the quantized electro-magnetic field. Due to the interaction with the dipoles, the dynamics of the field is added by a dipole field, which…

量子物理 · 物理学 2020-08-07 Fang-qi Hu , Qing Zhao , Sheng-Wen Li

We look over recent developments on our understanding about relativistic matter under external electromagnetic fields and mechanical rotation. I review various calculational approaches for concrete physics problems, putting my special…

高能物理 - 唯象学 · 物理学 2019-06-26 Kenji Fukushima

We describe the generation of the electric current flowing along the external magnetic field in the system of massive charged fermions, possessing anomalous magnetic moments and electroweakly interacting with background matter. This current…

高能物理 - 唯象学 · 物理学 2019-06-07 Maxim Dvornikov

Exact multicentered solutions to the governing equations of the Born--Infeld nonlinear theory of electrodynamics describing distributions of electric, magnetic, and dyonic point charge sources are constructed explicitly for the first time.…

数学物理 · 物理学 2023-09-28 Yisong Yang

In a $U(1)_{\star}$-noncommutative (NC) gauge field theory we extend the Seiberg-Witten (SW) map to include the (gauge-invariance-violating) external current and formulate - to the first order in the NC parameter - gauge-covariant classical…

高能物理 - 理论 · 物理学 2011-09-06 T. C. Adorno , D. M. Gitman , A. E. Shabad , D. V. Vassilevich

We present new aspects of the electromagnetic field by introducting the natural potentials. These natural potentials are suitable for constructing the first order distortions of the metric tensor of Complex Relativity - the theory combining…

经典物理 · 物理学 2007-05-23 Roman Teisseyre , Mariusz Bialecki

Lorentz reciprocity establishes a stringent relation between electromagnetic fields and their sources. For static magnetic fields, a relation between magnetic sources and fields can be drawn in analogy to the Green's reciprocity principle…

经典物理 · 物理学 2018-11-28 J. Prat-Camps , P. Maurer , G. Kirchmair , O. Romero-Isart

Oleg D. Jefimenko's electrodynamics textbook is unique in its approaches to deriving the electric and magnetic fields of arbitrary charge and current distributions and of an arbitrarily moving point charge. However, an uncommon form of the…

经典物理 · 物理学 2025-10-07 Shengchao Alfred Li

This paper is concerned with an inverse random source problem for the three-dimensional time-harmonic Maxwell equations. The source is assumed to be a centered complex-valued Gaussian vector field with correlated components, and its…

偏微分方程分析 · 数学 2020-02-21 Peijun Li , Xu Wang

We find the electric field of a point charge in `truncated hyperbolic motion', in which the charge moves at a constant velocity followed by motion with a constant acceleration in its instantaneous rest frame. The same Lienard-Wiechert…

经典物理 · 物理学 2015-07-08 Jerrold Franklin

It is shown that the hypercomplex Dirac equation describes the system of connected fields: 4-scalar, 4-pseudoscalar, 4-vector, 4-pseudo-vector and antisymmetric 4-tensor second rank field. If mass is assumed to be zero this system splits…

量子物理 · 物理学 2007-05-23 K. S. Karplyuk , O. O. Zhmudskyy

This paper deals with the solution of Maxwell's equations to model the electromagnetic fields in the case of a layered earth. The integrals involved in the solution are approximated by means of a novel approach based on the splitting of the…

数值分析 · 数学 2023-01-04 Eleonora Denich , Paolo Novati , Stefano Picotti

As a simple application of special conformal transformations, we derive the electromagnetic field produced by an electric charge in hyperbolic motion. Unlike other purely algebraic derivations, here we develop a more intuitive geometrical…

广义相对论与量子宇宙学 · 物理学 2021-03-09 Calin Galeriu

Starting from the experimental fact that a moving charge experiences the Lorentz force and applying the fundamental principles of simplicity (first order derivatives only) and linearity (superposition principle), we show that the structure…

经典物理 · 物理学 2016-05-27 Gerhard Diener , Jürgen Weissbarth , Frank Grossmann , Rüdiger Schmidt

It is well known that two permanent magnets of fixed orientation will either always repel or attract one another regardless of the distance between them. However, if one magnet is rotated at sufficient speed, a stable position at a given…

A classical problem in electromagnetics concerns the representation of the electric and magnetic fields in the low-frequency or static regime, where topology plays a fundamental role. For multiply connected conductors, at zero frequency the…