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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

The form of the energy-momentum tensor when a quasimonochromatic field propagates into and through an antireflection-coated, sourceless, transparent, continuous, linear magneto-dielectric medium, initially at rest in the local frame,…

Optics · Physics 2022-11-21 Michael E. Crenshaw

The canonical energy-momentum tensor is often considered as a purely academic object because of its gauge dependence. However, it has recently been realized that canonical quantities can in fact be defined in a gauge-invariant way provided…

High Energy Physics - Phenomenology · Physics 2016-04-20 Cédric Lorcé

Within the Lagrange formalism we show that the gauge invariant total energy-momentum tensor for gravitational interactions is zero. If the equations of motion are satisfied the energy tensor is conserved.

Mathematical Physics · Physics 2007-05-23 Walter Wyss

This is paper I of a series of two papers, offering a self-contained analysis of the role of electromagnetic stress-energy-momentum tensors in the classical description of continuous polarizable perfectly insulating media. While…

Classical Physics · Physics 2015-05-18 Shin-itiro Goto , Robin W. Tucker , Timothy J. Walton

In the literature one often finds the claim that there is no such thing as an energy-momentum tensor for the gravitational field, and consequently, that the total energy-momentum conservation can only be defined in terms of a gravitational…

General Relativity and Quantum Cosmology · Physics 2014-08-08 H. Nikolic

It has been assumed for a century that the energy-momentum tensor of the photon takes a symmetric form, with the renowned Poynting vector assigned as the same density for momentum and energy flow. Here we show that the symmetry of the…

General Physics · Physics 2012-11-21 Xiang-Bai Chen , Xiang-Song Chen

Electromagnetic force and torque are typically derived from a stress tensor in conjunction with Maxwell's equations of classical electrodynamics. In some instances, the Principle of Least Action (built around a Lagrangian) can be used to…

Optics · Physics 2021-08-09 Masud Mansuripur

Axion electrodynamics is based upon the Lagrangian of the electromagnetic (EM) field plus its interaction with the axions, and is accordingly a physically open system. It means that the four-divergence of the EM energy-momentum tensor is…

High Energy Physics - Phenomenology · Physics 2022-11-01 Iver H. Brevik , Moshe M. Chaichian

We derive a generalized Minkowski Energy Momentum Tensor for a monochromatic wave in a lossless medium exhibiting temporal and spatial dispersion. The Energy Momentum Tensor is then related to familiar expressions for energy density and…

General Physics · Physics 2016-04-11 Chris Fietz

We find that the energy-momentum tensor of electromagnetic waves in media is very similar to that of ordinary fluids, and concepts such as density, pressure, and energy transfer rate can be similarly defined. On this basis, we conducted a…

Classical Physics · Physics 2023-09-11 Gui-Xiong Liang

Detailed study of the energy and momentum carried by the electromagnetic field can be a source of clues to possible new physics underlying the Maxwell Equations. But such study has been impeded by expressions for the parameters of the…

General Physics · Physics 2021-05-11 Oliver Davis Johns

We discuss a puzzle in relativistic spin hydrodynamics; in the previous formulation the spin source from the antisymmetric part of the canonical energy-momentum tensor (EMT) is crucial. The Belinfante improved EMT is pseudo-gauge…

High Energy Physics - Theory · Physics 2021-05-12 Kenji Fukushima , Shi Pu

We clarify the relation between canonical and metric energy-momentum tensors. In particular, we show that a natural definition arises from Noether's Theorem which directly leads to a symmetric and gauge invariant tensor for electromagnetic…

Mathematical Physics · Physics 2008-11-26 Ricardo E. Gamboa Saraví

In moving electromagnetic systems, electromagnetic momentum calculated from the vector potential is shown to be proportional to the field energy of the system. The momentum thus obtained is shown actually to be the same as derived from a…

General Physics · Physics 2025-10-17 Ashok K. Singal

It is shown that the necessary criterion for choosing the energy-momentum tensor of a physical system is the form of its linear invariant, which should be the lagrangian of this physical system. Examples of energy-momentum tensors that meet…

Classical Physics · Physics 2019-04-24 Yurii A. Spirichev

It is pointed out that the previous energy-momentum tensors of Minkowski and Abraham for the electromagnetic field in continuous media are based on a covariant formulation which does not reflect a symmetry inherent to the system. Instead,…

High Energy Physics - Phenomenology · Physics 2008-09-30 Finn Ravndal

We present a new type of energy-momentum tensor and angular momentum tensor. They are motivated by a special consideration in quantum measurement: Given a wave in mutual eigen-state of more than one physical observables, the corresponding…

General Physics · Physics 2017-01-31 Zhen-Lai Wang , De-Tian Yang , Zi-Wei Chen , Tao Lei , Xiang-Song Chen

We address the long-standing controversy regarding the correct description of the electromagnetic energy-momentum tensor in media and its consequences for the Casimir force. The latter being due to the zero-point momentum of the…

Quantum Physics · Physics 2017-10-27 Friedrich Anton Burger , Johnnes Fiedler , Stefan Yoshi Buhmann

A set of lattice operators for the energy-momentum (EM) tensor in the Ising CFT is derived in the spin variables. Our expression works under arbitrary affine transformation both on triangular and hexagonal lattices (where the former…

High Energy Physics - Lattice · Physics 2025-05-14 Richard C. Brower , George T. Fleming , Nobuyuki Matsumoto , Rohan Misra