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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

Nonlinear electrodynamics, QED included, is considered against the Lorentz-noninvariant external field background, treated as an anisotropic medium. Hamiltonian formalism is applied to electromagnetic excitations over the background, and…

High Energy Physics - Theory · Physics 2013-01-14 Selym Villalba-Chavez , Anatoly E. Shabad

Time-varying media, characterized by dynamic or spacetime-modulated constitutive parameters such as permittivity and permeability, have recently emerged as a transformative paradigm for advanced wave control, transcending the constraints…

Optics · Physics 2026-04-20 Youxiu Yu , Hao Hu , Qianru Yang , Linyang Zou , Dongjue Liu , Hao Chi Zhang , Yu Luo

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

We examine the momentum, spin, and orbital angular momentum of structured monochromatic optical fields in dispersive inhomogeneous isotropic media. There are two bifurcations in this general problem: the Abraham-Minkowski dilemma and the…

Optics · Physics 2017-08-22 Konstantin Y. Bliokh , Aleksandr Y. Bekshaev , Franco Nori

After more than a century of debate, there remains continuing discomfort over what is the correct expression for the electromagnetic momentum in a dielectric medium. This is the so-called the Minkowski-Abraham controversy. We show that…

Classical Physics · Physics 2017-07-05 Joseph J. Bisognano

The total momentum of a thermodynamically closed system is unique, as is the total energy. Nevertheless, there is continuing confusion concerning the correct form of the momentum and the energy-momentum tensor for an electromagnetic field…

Optics · Physics 2015-02-12 Michael E. Crenshaw , Thomas B. Bahder

This paper resolves a persistent ambiguity regarding the covariant formulation of electrodynamics in a vacuum, as well as of Minkowski's electrodynamics of moving isotropic media. By analyzing a recent debate, we demonstrate that current…

Classical Physics · Physics 2026-05-28 D V Redžić

In the framework of a geometrical model, in which the affine connection of a space is expressed in terms of the electromagnetic field, a possibility of the momentum non-conservation is shown. A toy device with an object moving in a magnetic…

General Physics · Physics 2017-12-11 B. A. Arbuzov

Based on the covariant variation formalism, two versions of the symmetric effective stress-energy tensor of the electromagnetic field in a dynamo-optically active relativistic media are reconstructed in the framework of the tetrad and…

General Relativity and Quantum Cosmology · Physics 2019-03-12 Alexander B. Balakin , Timur Yu. Alpin

Momentum transfer between matter and electromagnetic field is analyzed. The related equations of motion and conservation laws are derived using relativistic formalism. Their correspondence to various, at first sight self-contradicting,…

Optics · Physics 2010-08-16 A. Feigel

We explore the propagation and transformation of electromagnetic waves through spatially homogeneous yet smoothly time-dependent media within the framework of classical electrodynamics. By modelling the smooth transition, occurring during a…

The relation between symmetries and conservation laws for solitons in a ferromagnet is complicated by the presence of gyroscopic (precessional) forces, whose description in the Lagrangian framework involves a background gauge field. This…

Mesoscale and Nanoscale Physics · Physics 2021-12-22 Xingjian Di , Oleg Tchernyshyov

Continuum electrodynamics is an axiomatic formal theory based on the macroscopic Maxwell equations and the constitutive relations. We apply the formal theory to a thermodynamically closed system consisting of an antireflection coated block…

Optics · Physics 2015-09-18 Michael E. Crenshaw

In this paper, I introduce two new concepts (Minkowski quasi-photon and invariance of physical definitions) to elucidate the theory developed in my previous work [Can. J. Phys. 93, 1510 (2015)], and to clarify the criticisms by Partanen and…

General Physics · Physics 2019-04-23 Changbiao Wang

This scientific essay proposes to discuss the physical aspects of a system consisting of some non-relativistic massive charged particles, that are the sources in motion of an electromagnetic field (e.m.) propagating through the space,…

Classical Physics · Physics 2012-05-02 Sergio Severini , Alessandro Settimi

The connection between symmetries and conservation laws as made by Noether's theorem is extended to the context of causal variational principles and causal fermion systems. Different notions of continuous symmetries are introduced. It is…

Mathematical Physics · Physics 2016-05-13 Felix Finster , Johannes Kleiner

It is well known that the time dependent harmonic oscillator possesses a conserved quantity, usually called Ermakov-Lewis invariant. I provide a simple physical interpretation of this invariant as well as a whole family of related…

Classical Physics · Physics 2018-04-04 T. Padmanabhan

The dynamical evolution of a Brownian particle in an inhomogeneous medium with spatially varying friction and temperature field is important to understand conceptually. It requires to address the basic problem of relative stability of…

Condensed Matter · Physics 2007-05-23 A. M. Jayannavar , Mangal C. Mahato

Conservation laws of a class of time-dependent damped nonlinear multidimensional wave equations are derived by Noether's theorem. For arbitrary nonzero damping coefficient and nonlinear interaction term, its infinitesimal variational…

Mathematical Physics · Physics 2026-05-15 F. Güngör , C. Özemir