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We analyze the Abraham-Minkowski problem known from classical electrodynamics from two different perspectives. First, we follow a formal approach, implying use of manifolds with curved space sections in accordance with Fermat's principle,…

General Relativity and Quantum Cosmology · Physics 2021-04-19 Iver Brevik , Masud Chaichian , Ion I. Cotăescu

We study in detail the relativistic distributions of energy, longitudinal momentum, longitudinal energy flux, and longitudinal thrust inside nucleons based on the quantum phase-space formalism. Similar to recent studies on the…

High Energy Physics - Phenomenology · Physics 2026-04-10 Ho-Yeon Won , Cédric Lorcé

We consider a bound system of particles interacting via electromagnetic forces in an external electromagnetic field, including leading relativistic corrections. Each particle has a definite mass, charge, spin, and charge radius. We…

Atomic Physics · Physics 2015-06-22 Albert Wienczek , Mariusz Puchalski , Krzysztof Pachucki

Theoretical analyses of radiation pressure and photon momentum in the past 150 years have focused almost exclusively on classical and/or quantum theories of electrodynamics. In these analyses, Maxwell's equations, the properties of…

Optics · Physics 2017-09-01 Masud Mansuripur , Pin Han

We obtain the energy distribution in the Kerr-Newman metric with the help of Bergmann-Thomson energy-momentum complex. We find that the energy-momentum definitions prescribed by Einstein, Landau-Lifshitz, Papapetrou, Weinberg, and…

High Energy Physics - Theory · Physics 2007-05-23 S. S. Xulu

We present examples of simple electromagnetic systems in which energy, linear momentum, and angular momentum exhibit interesting behavior. The systems are sufficiently simple to allow exact solutions of Maxwell's equations in conjunction…

Optics · Physics 2015-09-02 Masud Mansuripur

Classical Electrodynamics in ponderable media remains defined by a century-long debate over force and energy localization. While the prevailing view treats competing formulations (Minkowski, Abraham, etc.) as equivalent conventions, this…

Classical Physics · Physics 2026-02-05 Bela Schulte Westhoff

The kinematics of pre-Maxwell electrodynamics is examined and interpretations of these fields is found through an examination of the associated Lorentz force and the structure of the energy-momentum tensor.

General Physics · Physics 2016-04-25 M. C. Land , L. P. Horwitz

The problem of calculation of electromagnetic field energy outside the transparency domain is discussed. It is shown that charged particle contribution to the energy of electromagnetic perturbations in the general case can be described in…

Plasma Physics · Physics 2018-04-09 S. A. Trigger , A. G. Zagorodny

The classical theory of electrodynamics is built upon Maxwell's equations and the concepts of electromagnetic (EM) field, force, energy, and momentum, which are intimately tied together by Poynting's theorem and by the Lorentz force law.…

Classical Physics · Physics 2017-09-25 Masud Mansuripur

Assuming that the Universe is an object of point rotation at a relic frequency, solutions of the Einstein equation are considered inside matter

General Physics · Physics 2019-03-20 B. V. Gisin

For over a century, two rival descriptions of electromagnetic field momentum in matter have co-existed, due to Abraham and Minkowski, respectively. We propose a set-up for measuring the difference between Abraham's and Minkowski's…

Optics · Physics 2012-09-05 Iver Brevik , Simen Å. Ellingsen

We examine the spatial distribution of electrons generated by a fixed energy point source in uniform, parallel electric and magnetic fields. This problem is simple enough to permit analytic quantum and semiclassical solution, and it harbors…

Quantum Physics · Physics 2007-05-23 Christian Bracher , Tobias Kramer , John B. Delos

Energy momentum tensor (EMT) characterizes the response of the vacuum as well as the thermal medium under the color electromagnetic fields. We define the EMT by means of the gradient flow formalism and study its spatial distribution around…

High Energy Physics - Lattice · Physics 2021-01-04 Ryosuke Yanagihara , Masakiyo Kitazawa , Masayuki Asakawa , Tetsuo Hatsuda

In field theory on a fibre bundle Y->X, an energy-momentum current is associated to a lift onto Y of a vector field on X. Such a lift by no means is unique, and contains a vertical part. It follows that: (i) there are a set of different…

High Energy Physics - Theory · Physics 2007-05-23 G. Sardanashvily

The mean value of the one-loop energy-momentum tensor in thermal QED with electric-like background that creates particles from vacuum is calculated. The problem differes essentially from calculations of effective actions (similar to that of…

High Energy Physics - Theory · Physics 2008-11-26 S. P. Gavrilov , D. M. Gitman

A theory where the gravitational, Maxwell and Dirac fields (mathematically represented as particular sections of a convenient Clifford bundle) are supposed fields in Faraday's sense living in Minkowski spacetime is presented. In our theory…

Mathematical Physics · Physics 2016-01-22 Waldyr A. Rodrigues , Samuel Augusto Wainer

We discuss the theory of electromagnetic fields, with an emphasis on aspects relevant to radiofrequency systems in particle accelerators. We begin by reviewing Maxwell's equations and their physical significance. We show that in free space,…

Accelerator Physics · Physics 2015-03-19 Andrzej Wolski

Electromagnetic waves carry the Abraham momentum, whose density is given by p_EM = S(r,t)/c^2. Here S(r,t) = E(r,t)\timesH(r,t) is the Poynting vector at point r in space and instant t in time, E and H are the local electromagnetic fields,…

Optics · Physics 2012-07-31 Masud Mansuripur , Armis R. Zakharian

Several energy-momentum "tensors" of gravitational field are considered and compared in the lowest approximation. Each of them together with energy-momentum tensor of point-like particles satisfies the conservation laws when equations of…

General Relativity and Quantum Cosmology · Physics 2007-05-23 A. I. Nikishov