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By the mechanical pressure we mean that the pressure in the fundamental thermodynamic equation with the naive form of the electromagnetic work used, while the thermodynamic one we mean that in the equation with proper thermodynamic form of…

Classical Physics · Physics 2025-01-08 Q. H. Liu

The force density on matter and the kinetic energy-momentum tensor of the electromagnetic field in matter are obtained starting from Maxwell equations and Lorentz force at microscopic level and averaging over a small region of space-time.…

Classical Physics · Physics 2014-08-18 Rodrigo Medina , J. Stephany

On $Spin^c$ manifolds, we study the Energy-Momentum tensor associated with a spinor field. First, we give a spinorial Gauss type formula for oriented hypersurfaces of a $Spin^c$ manifold. Using the notion of generalized cylinders, we derive…

Differential Geometry · Mathematics 2015-05-20 Roger Nakad

This paper inspects more closely the problem of the momentum and energy of a bound (non-radiating) electromagnetic (EM) field. It has been shown that for an isolated system of non-relativistic mechanically free charged particles a…

Classical Physics · Physics 2007-05-23 Alexander L. Kholmetskii

A transparent linear magneto-dielectric material in free space that is illuminated by a finite quasimonochromatic field is a thermodynamically closed system, definitively, regardless of what field and material subsystems that one defines.…

Classical Physics · Physics 2022-02-14 Michael E. Crenshaw

We consider a complex covariant form of the macroscopic Maxwell equations, in a moving medium or at rest, following the original ideas of Minkowski. A compact, Lorentz invariant, derivation of the energy-momentum tensor and the…

Mathematical Physics · Physics 2016-05-24 Sergey I. Kryuchkov , Nathan A. Lanfear , Sergei K. Suslov

The macroscopic energy-momentum and spin densities of relativistic spin hydrodynamics are obtained from the ensemble average of their respective microscopic definitions (quantum operators). These microscopic definitions suffer from…

High Energy Physics - Theory · Physics 2026-01-26 Rajeev Singh

We are concerned with the precise modalities by which mathematical constructions related to energy-tensors can be adapted to a tetrad-affine setting. We show that, for fairly general gauge field theories formulated in that setting, two…

General Relativity and Quantum Cosmology · Physics 2018-06-27 Daniel Canarutto

The energy content of (exact) electromagnetic and gravitational plane waves is studied in terms of super-energy tensors (the Bel, Bel-Robinson and the --less familiar-- Chevreton tensors) and natural observers. Starting from the case of…

General Relativity and Quantum Cosmology · Physics 2018-09-17 Donato Bini , Andrea Geralico

We show that the leading non-analytic terms in the small-t expansion of the energy momentum tensor (EMT) form factors of an electrically charged particle in QED can be correctly derived in a classical model of the electron by…

High Energy Physics - Phenomenology · Physics 2026-03-24 Grace Gardella , Mira Varma , Peter Schweitzer

We provide for the first time a complete parametrization for the matrix elements of the generic asymmetric, non-local and gauge-invariant canonical energy-momentum tensor, generalizing therefore former works on the symmetric, local and…

High Energy Physics - Phenomenology · Physics 2015-09-30 Cédric Lorcé

For complete spin initial data sets with an asymptotically anti--de Sitter end, we introduce a charged energy--momentum defined as a linear functional arising from the Einstein--Maxwell constraints. Under a dominant energy condition adapted…

Differential Geometry · Mathematics 2026-01-21 Simon Raulot

We review the energy concept in the case of a continuum or a system of fields. First, we analyze the emergence of a true local conservation equation for the energy of a continuous medium, taking the example of an isentropic continuum in…

General Relativity and Quantum Cosmology · Physics 2016-09-13 Mayeul Arminjon

A system of PDEs for the electromagnetic field and one real component of the spinor field is generally equivalent to spinor electrodynamics. There are reasons to believe that the component can be differentially eliminated from the system. A…

General Physics · Physics 2019-09-25 Andrey Akhmeteli

The tensor self energy is computed at one loop order in a model in which a vector and tensor interact in a way that eliminates all tensor degrees of freedom. Divergencies arise which cannot be eliminated without introducing a kinetic term…

High Energy Physics - Theory · Physics 2008-11-26 A. Buchel , F. A. Chishtie , M. Gagne-Portelance , S. Homayouni , D. G. McKeon

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

The fundamental difference between the true transformations (TT) and the apparent transformations (AT) is explained. The TT refer to the same quantity, while the AT refer, e.g., to the same measurement in different inertial frames of…

General Physics · Physics 2007-05-23 Tomislav Ivezic

The classical theory of electrodynamics cannot explain the existence and structure of electric and magnetic dipoles, yet it incorporates such dipoles into its fundamental equations, simply by postulating their existence and properties, just…

Optics · Physics 2015-03-10 Masud Mansuripur

Electromagnetism is the energy originating from an electric charge. Our purpose is to enlarge Maxwell. Include the charge transfer phenomenology. A four bosons electromagnetism is derived. An EM completeness is achieved. The charge's set…

General Physics · Physics 2022-06-01 R. Doria , L. S. Mendes

This is a reply to W. Zawadzki's paper (arXiv: cond-mat/0701378) on non-exietence of spin transverse force for a relativistic electron. The force was first proposed by the present author that the spin current will experience a transverse…

Materials Science · Physics 2007-10-27 Shun-Qing Shen
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