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Electromagnetic energy and momentum in moving media

Obukhov, YN; (2008) Electromagnetic energy and momentum in moving media. ANN PHYS-BERLIN , 17 (9-10) 830 - 851. 10.1002/andp.200810313.

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Abstract

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. An overview of the current situation is presented. After putting the discussion into a general Lagrange-Noether framework, the Minkowski tensor is recovered as a canonical energy-momentum. It is shown that the balance equations of energy, momentum, and angular momentum are always satisfied for an open electromagnetic system despite the lack of the symmetry of the canonical tensor. On the other hand, although the Abraham tensor is not defined from first principles, one can formulate a general symmetrization prescription provided a time-like vector is available. We analyze in detail the variational model of a relativistic ideal fluid with isotropic electric and magnetic properties interacting with the electromagnetic field. The relation between the Minkowski energy-momentum tensor, the canonical energy-momentum of the medium and the Abraham tensor is clarified. It is demonstrated that the Abraham energy-momentum is relevant when the 4-velocity of matter is the only covariant variable that enters the constitutive tensor. (c) 2008 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim

Type: Article
Title: Electromagnetic energy and momentum in moving media
DOI: 10.1002/andp.200810313
Keywords: Classical electrodynamics, energy-momentum tensor, moving media, ABRAHAM-MINKOWSKI CONTROVERSY, STATIC FIELDS, RADIATION PRESSURE, DIELECTRIC MEDIA, TENSEUR ELECTRODYNAMIQUE, HAMILTONS PRINCIPLE, PONDERABLE MATTER, REFRACTING MEDIUM, ANGULAR-MOMENTUM, LINEAR MOMENTUM
UCL classification: UCL > School of BEAMS
UCL > School of BEAMS > Faculty of Maths and Physical Sciences
URI: http://discovery.ucl.ac.uk/id/eprint/150158
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