电磁场中扩展带电粒子的Poincare不变运动方程

带电球体从静止位置缓慢地经历微小的、暂时的位移时所受到的电磁自作用力

The electromagnetic self-force on a charged spherical body slowly undergoing a small, temporary displacement from a position of rest

经典电动力学在半径为R的带电“刚性”体上的自作用力对于经历缓慢（即，速度v<c），轻微（即，与R相比较小），以及从初始静止位置的暂时位移。这些结果与玻尔-罗森菲尔德关于电磁场可测性的分析有关，这是最近一个有争议的问题。

二维带电粒子运动的Lie对称性

Lie symmetries for two-dimensional charged particle motion

我们发现了非相对论二维带电粒子运动的李点对称性。这些对称性包括一个准不变变换，一个时间相关的旋转，一个时间相关的空间平移和伸缩。相关的电磁场满足一阶线性偏微分方程组。这个系统的精确求解，产生四类电磁场兼容的李点对称性。

Motions of a charged particle in the electromagnetic field induced by a non-stationary current

In this paper we study the non-relativistic dynamic of a charged particle in the electromagnetic field induced by a periodically time dependent current J along an infinitely long and infinitely thin straight wire. The motions are described by the Lorentz-Newton equation, in which the electromagnetic field is obtained by solving the Maxwell's equations with the current distribution J as data. We prove that many features of the integrable time independent case are preserved. More precisely, introducing cylindrical coordinates, we prove the existence of (non-resonant) radially periodic motions th…

Lie algebraic approach to quadratic Hamiltonians and the bi-dimensional charged particle in time-dependent electromagnetic field

We discuss the one-dimensional, general quadratic Hamiltonian and the bi-dimensional charged particle in time-dependent electromagnetic fields through the Lie algebraic approach. Such method consists in finding a set of generators that form a closed Lie algebra in terms of which it is possible to express the Hamiltonian and the therefore the evolution operator. The evolution operator is then the starting point to obtain the propagator as well as the explicit form of the Heisenberg picture position and momentum operators. First, the set of generators forming a closed Lie algebra is identified f…

二维带电粒子运动的Noether对称性

Noether symmetries for two-dimensional charged particle motion

我们发现了非相对论二维带电粒子运动的Noether点对称性。这些对称性是由一个准不变变换，一个时间相关的旋转和时间相关的空间平移。相关的电磁场满足一阶线性偏微分方程组。这个系统的精确求解，产生三类电磁场兼容的Noether点对称性。相应的Noether不变量的推导和解释。

交叉和纵向电磁场中的带电粒子和束流波导

Charged particles in crossed and longitudinal electromagnetic fields and beam guides

我们考虑一类包含纵向电场和磁场的交叉场的电磁场。我们研究经典粒子在这样的场中的运动（洛伦兹方程的解）。然后，我们提出了一个分析，使人们能够决定哪些字段从类作为带电粒子的束导，我们发现一些时间无关和时间依赖的配置与束导性能。我们证明了Klein-Gordon和Dirac方程的所有领域从类可以精确地解决。我们研究这些解决方案，这是未知的，并证明他们形成完整的和正交的功能集。

Electromagnetic fields and potentials generated by massless charged particles

We provide for the first time the exact solution of Maxwell's equations for a massless charged particle moving on a generic trajectory at the speed of light. In particular we furnish explicit expressions for the vector potential and the electromagnetic field, which were both previously unknown, finding that they entail different physical features for bounded and unbounded trajectories. With respect to the standard Lienard-Wiechert field the electromagnetic field acquires singular delta-like contributions whose support and dimensionality depend crucially on whether the motion is a) linear, b) a…

Line Singularities and Hopf Indices of Electromagnetic Multipoles

Electromagnetic multipoles can be continuously mapped to tangent vectors on the momentum sphere, the topology of which guarantees the existence of isolated singularities. For pure (real or imaginary) vectors, those singularities correspond to zeros of tangent fields, which can be classified by integer Poincaré indices. Nevertheless, electromagnetic fields are generally complex vectors, a comprehensive characterization of which requires the introduction of line fields and line singularities categorized by half-integer Hopf indices. Here we explore complex vectorial electromagnetic multipoles fr…

Charged and electromagnetic fields from relativistic quantum geometry

In the Relativistic Quantum Geometry (RQG) formalism recently introduced, was explored the possibility that the variation of the tensor metric can be done in a Weylian integrable manifold using a geometric displacement, from a Riemannian to a Weylian integrable manifold, described by the dynamics of an auxiliary geometrical scalar field $θ$, in order that the Einstein tensor (and the Einstein equations) can be represented on a Weyl-like manifold. In this framework we study jointly the dynamics of electromagnetic fields produced by quantum complex vector fields, which describes charges without …

The Majorana spinor representation of the Poincare group

There are Poincare group representations on complex Hilbert spaces, like the Dirac spinor field, or real Hilbert spaces, like the electromagnetic field tensor. The Majorana spinor is an element of a 4 dimensional real vector space. The Majorana spinor field is a space-time dependent Majorana spinor, solution of the free Dirac equation. The Majorana-Fourier and Majorana-Hankel transforms of Majorana spinor fields are defined and related to the linear and angular momenta of a spin one-half representation of the Poincare group. We show that the Majorana spinor field with finite mass is an unitary…

带电标量场在含电磁场的五维螺旋面解中的解

Solutions of a charged scalar field in five-dimensional helicoid solution with electromagnetic field

本文研究了Nutku-Ghezelbash-Kumar五维度规背景下带电有质量标量场的Klein-Gordon方程，发现其角向和特殊情况的径向方程可化为双汇合Heun方程，并通过数值研究和近似方法分析了电磁场参数对径向坐标的有效截断及准精确解。

Electromagnetic Asymmetry, Relegation of Curvature Singularities of Charged Black Holes, and Cosmological Equations of State in View of the Born--Infeld Theory

It is shown that the Born--Infeld nonlinear electrodynamics with a polynomial type nonlinearity accommodates finite-energy electric point charges but rejects finite-energy magnetic point charges, or monopoles, thereby spelling out an electromagnetic asymmetry. Moreover, it is demonstrated, in a systematic way, that the curvature singularities of finite-energy charged black holes in the context of the Born--Infeld theory may effectively be relegated or in some cases removed under a critical mass-energy condition, which has been employed successfully in earlier concrete studies. Furthermore, it …

Bidyon作为带自旋带电粒子的电磁模型

Bidyon as an electromagnetic model for charged particle with spin

考虑了一个具有双子奇异性的非线性电动力学的一般模型。我们考虑具有两个带相同电荷和相反磁荷的双子奇点的场组态，我们称之为bidyon。我们研究了两个双子解的和作为对双子解的初始近似。我们考虑的情况下，当双子的速度有相同的模和相反的方向在一个共同的线。它表明，相关的场配置有一个恒定的完整的角动量，这是独立的双子之间的距离和它们的速度。这一性质允许考虑这种bidyon配置作为一个电磁模型的带电粒子的自旋。讨论了以振荡双重子为粒子的可能电动力学世界。