Poynting Theorem, Relativistic Transformation of Total Energy–Momentum and Electromagnetic Energy–Momentum Tensor

2015 ◽  
Vol 46 (2) ◽  
pp. 236-261 ◽  
Author(s):  
Alexander Kholmetskii ◽  
Oleg Missevitch ◽  
Tolga Yarman
Keyword(s):  
Total Energy ◽  
Energy Momentum Tensor ◽  
Momentum Tensor ◽  
Electromagnetic Energy ◽  
Relativistic Transformation ◽  
Poynting Theorem

Further comments on the equivalence of Abraham's, Minkowski's, and others' electrodynamics

1980 ◽  
Vol 58 (8) ◽  
pp. 1163-1170 ◽  
Author(s):  
Gérard A. Maugin
Keyword(s):  
Energy Density ◽  
Total Energy ◽  
Mechanical Behavior ◽  
Internal Energy ◽  
Closed System ◽  
Ad Hoc ◽  
Energy Momentum Tensor ◽  
Momentum Tensor ◽  
Electromagnetic Energy ◽  
Time Decomposition

Arguments recently proposed by Kranyš concerning the nondistinguishability between Abraham's and Minkowski's electromagnetic contributions to the total energy-momentum tensor of the same relativistic, thermodynamically closed system are extended to other electromagnetic energy-momentum tensors (as proposed by Grot and Eringen and de Groot and Suttorp). The adjustment of the corresponding "matter" contribution, which occurs in each element of the canonical space-time decomposition of the total energy-momentum tensor, is exhibited in those different cases. For dissipation-free systems this adjustment can be achieved for each case by means of an ad hoc Legendre transformation on the internal energy density. The arguments used do not presuppose any isotropy and linearity of the medium and can be readily extended to the cases of media with hysteresis and media endowed with intrinsic spins, be they of a fluid-like or solid-like type of mechanical behavior.

4/3 problem, Poynting theorem, and electromagnetic energy–momentum tensor

2015 ◽  
Vol 93 (6) ◽  
pp. 691-697 ◽  
Author(s):  
Alexander L. Kholmetskii ◽  
Oleg V. Missevitch ◽  
Tolga Yarman
Keyword(s):  
Energy Momentum Tensor ◽  
Momentum Tensor ◽  
Electromagnetic Energy ◽  
Poynting Theorem

scholarly journals Energy - Momentum Tensors for Dispersive Electromagnetic Waves

1977 ◽  
Vol 30 (6) ◽  
pp. 533 ◽  
Author(s):  
RL Dewar
Keyword(s):  
Total Energy ◽  
Electromagnetic Waves ◽  
Energy Momentum Tensor ◽  
Dispersive Medium ◽  
Ponderomotive Force ◽  
Three Dimensional ◽  
Momentum Tensor ◽  
Dielectric Fluid ◽  
One Dimensional ◽  
Cold Plasmas

Classical relativistic field theory is used as a basis for a general discussion of the problem of splitting up the total energy–momentum tensor of a system into contributions from its component subsystems. Both the Minkowski and Abraham forms (including electrostriction) arise naturally in alternative split-up procedures applied to a non dispersive dielectric fluid. The case of an electromagnetic wave in a (spatially and temporally) dispersive medium in arbitrary but slowly varying motion is then treated. In the dispersive case the results cannot be found by replacing the dielectric constant ε with ε(κ, ω) but include derivatives with respect to the wave vector κ and the frequency ω. Ponderomotive force expressions are obtained and the perturbation in the total energy–momentum tensor due to a one-dimensional wavepacket is found. A nonlinear Schrödinger equation is obtained for the evolution of a three-dimensional wavepacket. Both hot and cold plasmas are treated.

Electrodynamics of Moving Media

1977 ◽  
Vol 32 (8) ◽  
pp. 823-828 ◽  
Author(s):  
Yasuyoshi Horibata
Keyword(s):  
Total Energy ◽  
Electromagnetic Fields ◽  
Energy Momentum Tensor ◽  
Momentum Tensor ◽  
Physical Significance ◽  
Macroscopic Theory ◽  
Material Part ◽  
Generalized Force ◽  
Electromagnetic Tensor ◽  
Moving Media

Abstract On the basis of the Minkowski formulation, the total energy-momentum tensor of a system consisting of matter and electromagnetic fields is derived from the macroscopic theory. The analysis of this tensor shows that the electromagnetic fields supply the matter with momentum and energy. Consequently, the electromagnetic part and the material part overlap each other in the total energy-momentum tensor. Hence it is impossible to divide the total energy-momentum tensor into an electromagnetic tensor and a material tensor. In a closed system, in general, only the total energy-momentum tensor has physical significance and can be defined. Further, the generalized force which acts on the matter is obtained and interpreted clearly.

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