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The problem of the electromagnetic energy-momentum tensor is among the oldest and the most controversial in macroscopic electrodynamics. In the center of the issue is a dispute about the Minkowski and the Abraham tensors for moving media.…

广义相对论与量子宇宙学 · 物理学 2008-08-15 Yuri N. Obukhov

We extend the variational problem of Wheeler-Feynman electrodynamics by putting the electromagnetic functional in a local space of absolutely continuous trajectories possessing a derivative (velocities) of bounded variation. Generalizing…

数学物理 · 物理学 2016-06-29 Jayme De Luca

The electromagnetic fields in Maxwell's theory satisfy linear equations in the classical vacuum. This is modified in classical non-linear electrodynamic theories. To date there has been little experimental evidence that any of these…

数学物理 · 物理学 2015-05-14 T. Dereli , R. W. Tucker

In nonlinear electrodynamics, by implementing the causality principle as the requirement that the group velocity of elementary excitations over a background field should not exceed the speed of light in the vacuum and the unitarity…

高能物理 - 理论 · 物理学 2011-05-13 Anatoly E. Shabad , Vladimir V. Usov

We present an exactly solvable model of a classical dielectric medium that gives an unambiguous local decomposition of field and charge motion and their contribution to the conserved quantities. The result is a set of four branches to the…

光学 · 物理学 2015-02-24 Clifford Chafin

The authors) Whenever light is slowed down, for any cause, two different formulas give its momentum. For dielectrics, the coexistence of those momenta was the heart of the century-old Abraham-Minkowski dilemma, recently resolved. We…

等离子体物理 · 物理学 2019-02-19 Damien Minenna , Yves Elskens , Fabrice Doveil , Frédéric André

We propose and study the properties of a non-linear electrodynamics that emerges inspired on the physics of Dirac materials. This new electrodynamic model is an extension of the one-loop corrected non-linear effective Lagrangian computed in…

材料科学 · 物理学 2023-09-29 M. J. Neves , Patricio Gaete , L. P. R. Ospedal , J. A. Helayël-Neto

The hypothesis that the Lorentz transformations may be modified at Planck scale energies is further explored. We present a general formalism for theories which preserve the relativity of inertial frames with a non-linear action of the…

广义相对论与量子宇宙学 · 物理学 2011-05-05 Joao Magueijo , Lee Smolin

We investigate the Pleba\'nski class of electrodynamical theories, i.e., theories of nonlinear vacuum electrodynamics that derive from a Lorentz-invariant Lagrangian (or Hamiltonian). In any such theory the light rays are the lightlike…

广义相对论与量子宇宙学 · 物理学 2016-11-03 Gerold O. Schellstede , Volker Perlick , Claus Lämmerzahl

Starting from Stratton-Panofsky-Phillips-Jefimenko equations for the electric and magnetic fields generated by completely arbitrary charge and current density distributions at rest, we derive far-zone approximations for the fields,…

经典物理 · 物理学 2010-01-11 B. Thidé , J. Lindberg , H. Then , F. Tamburini

The Maxwell electromagnetic and the Lorentz type force equations are derived in the framework of the R. Feynman proper time paradigm and the related vacuum field theory approach. The electron inertia problem is analyzed within the…

经典物理 · 物理学 2015-11-03 Anatolij K. Prykarpatsky , Nikolai N. Bogolubov

Recently there have been suggestions that the Lorentz force law is inconsistent with special relativity. This is difficult to understand, since Einstein invented relativity in order to reconcile electrodynamics with mechanics. Here we…

经典物理 · 物理学 2012-08-24 Kimball A. Milton , Giulio Meille

The standard derivations of electromagnetic energy and momentum in media take Maxwell's equations as the starting point. It is well known that for dispersive media this approach does not directly yield exact expressions for the energy and…

光学 · 物理学 2015-05-19 T. G. Philbin

Changes in the magnetic moment of an electron near a dielectric or conducting surface due to boundary-dependent radiative corrections are investigated. The electromagnetic field is quantized by normal mode expansion for a non-dispersive…

量子物理 · 物理学 2013-07-12 Robert Bennett , Claudia Eberlein

We consider a regular and bounded dielectric body moving at a speed $|V|$, following a constant vector field $V$, with respect to a reference frame. In this frame, the special relativity implies that the Maxwell system is derived through…

偏微分方程分析 · 数学 2023-11-02 Manas Kar , Mourad Sini

We develop a relativistic variational model for a nematic liquid crystal interacting with an electro- magnetic field. The constitutive relation for a general anisotropic uniaxial diamagnetic and dielectric medium is analyzed. We discuss…

经典物理 · 物理学 2012-09-21 Yuri N. Obukhov , Tomas Ramos , Guillermo F. Rubilar

In this paper, we study the bulk motion of a classical extended charge in flat spacetime. A formalism developed by W. G. Dixon is used to determine how the details of such a particle's internal structure influence its equations of motion.…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Abraham I. Harte

The relativistic continuity equations for the extensive thermodynamic quantities are derived based on the divergence theorem in Minkowski space outlined by St\"uckelberg. This covariant approach leads to a relativistic formulation of the…

统计力学 · 物理学 2022-10-11 Sylvain D. Brechet , Marin C. A. Girard

The dynamics of an electron driven by arbitrary plane wave laser radiation is formulated as a relativistically and mathematically exact refraction process based on an exact index of refraction. This reformulation leads to that index as an…

等离子体物理 · 物理学 2013-04-17 Ulrich H. Gerlach , Kiam H. Kwa , Linn Van Woerkom

This paper is devoted to the analysis of the divergence of the electron self-energy in classical electrodynamics. To do so, we appeal to the theory of distributions and a method for obtaining corresponding extensions. At first sight,…

综合物理 · 物理学 2023-08-16 H. R. de Assis , B. F. Rizzuti