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Classical Electrodynamics is not a consistent theory because of its field inadequate behaviour in the vicinity of their sources. Its problems with the electron equation of motion and with non-integrable singularity of the electron self…

High Energy Physics - Theory · Physics 2008-02-03 Manoelito M. de Souza

We are doubtlessly familiar with some edition of Jackson's tome on electrodynamics, and Schwinger's calculation of the anomalous magnetic moment of the electron in QED. From the perspective of strong interactions, however, electromagnetic…

High Energy Physics - Lattice · Physics 2011-11-03 B. C. Tiburzi

A four-vector field in flat space-time, satisfying a gauge-invariant set of second-order differential equations, is considered as a unified field. The model variational principle corresponds to the general covariance idea and gives rise to…

High Energy Physics - Theory · Physics 2008-11-26 Alexander A. Chernitskii

In this mostly pedagogical tutorial article a brief introduction to modern geometrical treatment of fluid dynamics and electrodynamics is provided. The main technical tool is standard theory of differential forms. In fluid dynamics, the…

Fluid Dynamics · Physics 2014-06-03 Marian Fecko

A recent proposal to explore vacuum electrodynamics using the speed of propagation of an electromagnetic pulse through an ambient constant magnetic field is examined. It is argued that the proposal should be modified so that the background…

Mathematical Physics · Physics 2013-01-21 S. P. Flood , D. A. Burton

This paper presents an alternative {\it relativistic nonlinear} approach to the vacuum case of classical electrodynamics. Our view is based on the understanding that the corresponding differential equations should be dynamical in nature.…

High Energy Physics - Theory · Physics 2014-02-24 Stoil Donev , Maria Tashkova

We study the properties of the classical electromagnetic (EM) radiation produced by two physically different yet closely related systems, which may be regarded as classical analogues of the Dynamical Casimir Effect (DCE). They correspond to…

High Energy Physics - Theory · Physics 2015-08-17 César D. Fosco , Fernando C. Lombardo

The static Casimir effect describes an attractive force between two conducting plates, due to quantum fluctuations of the electromagnetic (EM) field in the intervening space. {\it Thermal fluctuations} of correlated fluids (such as critical…

Condensed Matter · Physics 2008-11-26 Mehran Kardar , Ramin Golestanian

Classical electromagnetism is linear. However, fields can polarize the vacuum Dirac sea, causing quantum nonlinear electromagnetic phenomena, e.g., scattering and splitting of photons, that occur only in very strong fields found in neutron…

Other Condensed Matter · Physics 2022-02-15 Aydin C. Keser , Yuli Lyanda-Geller , Oleg P. Sushkov

In this paper, we discuss the Maxwell equations in terms of differential forms, both in the 3-dimensional space and in the 4-dimensional space-time manifold. Further, we view the classical electrodynamics as the curvature of a line bundle,…

Mathematical Physics · Physics 2011-12-06 Shenghua Du , Cheng Hao , Yueke Hu , Yuming Hui , Quan Shi , Li Wang , Yuqing Wu

One of the objectives of the undergraduate physics curriculum is for students to become aware of the connections between formal physical principles and personal experience. However, research has shown that awareness of connections between…

Physics Education · Physics 2022-06-07 Zosia Krusberg , Andrew Feldman , Elam Coalson

Prior research has demonstrated how the realist perspectives of classical physics students can translate into specific beliefs about quantum phenomena when taking an introductory modern physics course. Student beliefs regarding the…

Physics Education · Physics 2011-08-29 Charles Baily , Noah D. Finkelstein

The Green-function formalism for the electromagnetic field in a magnetoelectric (ME) medium is constructed, as a generalization of conventional Casimir theory. Zero temperature is assumed. It is shown how the formalism predicts…

Quantum Physics · Physics 2009-11-13 Ole Jakob Birkeland , Iver Brevik

The present tutorial aims at covering the fundamentals of electromagnetism, in a condensed and clear manner. Some solved and proposed exercises have been included. The reader is assumed to have knowledge of basic electricity, partial…

Physics Education · Physics 2009-06-17 Christine C. Dantas

The focus of these lectures is on the quantum vacuum subjected to classical electromagnetic fields. To this end we explicitly derive the renowned Heisenberg-Euler effective action in constant electromagnetic fields in a rather pedagogical…

High Energy Physics - Theory · Physics 2016-12-02 Felix Karbstein

Dimensional analysis is a simple qualitative method for determining essential connections between physical quantities. It is applicable to a multitude of physics problems, many of which canbe introduced early on in a university physics…

Physics Education · Physics 2016-11-26 Michaela Reichelova , Aba Teleki

The electric and magnetic fields are investigated on the basis of quantum vacuum. The analysis of the electromagnetic energy and force indicates that an electric field is a polarized distribution of the vacuum virtual dipoles, and that a…

General Physics · Physics 2009-08-22 Xing-Hao Ye

The theory of the dynamical systems is a very complex subject which has brought several surprises in the recent past in connection with the theory of chaos and fractals. The application of the tools of the dynamical systems in cosmological…

General Relativity and Quantum Cosmology · Physics 2015-01-21 Ricardo García-Salcedo , Tame Gonzalez , Francisco A. Horta-Rangel , Israel Quiros , Daniel Sanchez-Guzmán

Despite suggestions to the contrary, we show in this paper that the usual dispersive form of the electromagnetic energy must be used to derive the Lifshitz force between parallel dielectric media. This conclusion follows from the general…

Other Condensed Matter · Physics 2015-05-18 Kimball A. Milton , Jef Wagner , Prachi Parashar , Iver Brevik

Group theory is used in many textbooks of contemporary physics. However, electromagnetic community often considers group theory as an "exotic" tool. Graduate and postgraduate textbooks on electromagnetics and electrodynamics usually do not…

Physics Education · Physics 2020-08-31 Victor Dmitriev