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In a continuum setting, the energy-momentum tensor embodies the relations between conservation of energy, conservation of linear momentum, and conservation of angular momentum. The well-defined total energy and the well-defined total…

Optics · Physics 2015-02-12 Michael E. Crenshaw

We give an introduction to, and review of, the energy-momentum tensors in classical gauge field theories in Minkowski space, and to some extent also in curved space-time. For the canonical energy-momentum tensor of non-Abelian gauge fields…

High Energy Physics - Theory · Physics 2016-11-21 Daniel N. Blaschke , Francois Gieres , Meril Reboud , Manfred Schweda

A symmetric and conserved energy-momentum tensor for a scalar field in a moving medium is derived using the Gordon metric. When applied to an electromagnetic field, the method gives a similar result. This approach thus points a way out of…

General Relativity and Quantum Cosmology · Physics 2015-05-28 Finn Ravndal

We present an elementary discussion of the momentum transferred by an electromagnetic wave propagating in a dispersive medium. Our analysis is based on Minkowski's electromagnetic momentum density which have been recently seen to be…

Classical Physics · Physics 2018-01-30 Rodrigo Medina , J. Stephany

The momentum of light inside ponderable media has an electromagnetic part and a mechanical part. The local and instantaneous density of the electromagnetic part of the momentum is given by the Poynting vector divided by the square of the…

Optics · Physics 2012-08-07 Masud Mansuripur

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

That static electric and magnetic fields can store momentum may be perplexing, but is necessary to ensure total conservation of momentum. Simple situations in which such field momentum is transferred to nearby bodies and point charges have…

Optics · Physics 2012-03-23 Iver Brevik , Simen Å. Ellingsen

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…

Optics · Physics 2015-05-19 T. G. Philbin

We calculate the energy-momentum balance in quantum dielectrics such as Bose-Einstein condensates. In agreement with the experiment [G. K. Campbell et al. Phys. Rev. Lett. 94, 170403 (2005)] variations of the Minkowski momentum are…

Other Condensed Matter · Physics 2009-11-11 Ulf Leonhardt

There are various formulations of energy--momentum tensors for an electromagnetic field in a linear dielectric. The total energy--momentum tensor, comprised of electromagnetic and material components, must be unique. We discuss the…

Optics · Physics 2017-11-07 Michael E. Crenshaw

There exist two popular energy-momentum tensors for an electromagnetic wave in a dielectric medium. The Abraham expression is robust to experimental verification but more mathematically demanding, while the Minkowski expression is the…

Classical Physics · Physics 2009-02-22 R. N. C. Pfeifer , T. A. Nieminen , N. R. Heckenberg , H. Rubinsztein-Dunlop

We derive an expression for the Maxwell stress tensor in a magnetic dielectric medium specified by its permittivity "epsilon" and permeability "mu." The derivation proceeds from the generalized form of the Lorentz law, which specifies the…

Optics · Physics 2014-03-03 Masud Mansuripur

In order to get some insight in the intricacies of the Abraham-Minkowski energy-momentum problem in phenomenological electrodynamics, we briefly analyze eight different experimental situations in radiation optics. Six of the experiments are…

Quantum Physics · Physics 2015-01-30 Iver Brevik

We determine the invariant expression of the force density that the electromagnetic field exerts on dipolar matter and construct the non-symmetric energy-momentum tensor of the electromagnetic field in matter which is consistent with that…

Classical Physics · Physics 2017-11-17 Rodrigo Medina , J. Stephany

On the basis of a non-local Lagrangian for Maxwell equations in a dispersive medium, the energy-momentum tensor of the field is derived. We obtain the Field equations through variational methods and an extension of Noether theorem for a…

Classical Physics · Physics 2021-05-12 Carlos Heredia , Josep Llosa

The form of the phenomenological stress-energy-momentum tensor for the electromagnetic field in a class of inhomogeneous, anisotropic magneto-electric media is calculated from first principles, leading to a coherent understanding of the…

Mathematical Physics · Physics 2009-11-11 T. Dereli , J. Gratus , R. W. Tucker

The Abraham--Minkowski controversy refers to a long-standing inability to adequately address certain issues involving the conservation of the momentum of an electromagnetic field in a linear dielectric medium. We apply the usual assumption…

Optics · Physics 2016-04-08 Michael E. Crenshaw

Using the Finite Difference Time Domain method, we solve Maxwell's equations numerically and compute the distribution of electromagnetic fields and forces inside material media. The media are generally specified by their dielectric…

Optics · Physics 2013-08-19 Masud Mansuripur , Armis R. Zakharian , Ewan M. Wright

Recent years have witnessed a number of beautiful experiments in radiation optics. Our purpose with this mini-review is to highlight some developments of radiation pressure physics in general, and thereafter to focus on the importance of…

Classical Physics · Physics 2018-04-18 Iver Brevik

In this paper I compare the Abraham and the Minkowski forms for the momentum pertaining to an electromagnetic wave inside a dielectric or a magnetic material. The discussion is based on a careful treatment of the surface charges and…

Classical Physics · Physics 2017-08-02 Massimo Testa