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We prove that the electromagnetic fields in dielectric media whose susceptibility follows a fractional power-law dependence in a wide frequency range can be described by differential equations with time derivatives of noninteger order. We…

Mathematical Physics · Physics 2015-03-17 Vasily E. Tarasov

Light in a dielectric medium moves slower than in vacuum. The corresponding electromagnetic field equations are then no longer invariant under ordinary Lorentz transformations, but only under such transformations corresponding to this…

Quantum Physics · Physics 2008-09-25 Finn Ravndal

Using covariant quantization of the electromagnetic field, the Casimir force per unit area experienced by a long conducting cylindrical shell, under both Dirichlet and Neumann boundary conditions, is calculated. The renormalization…

Quantum Physics · Physics 2017-10-11 H. Razmi , N. Fadaei

In this paper we examine the Casimir effect for charged fields in presence of external magnetic field. We consider scalar field (connected with spinless particles) and the Dirac field (connected with 1/2-spin particles). In both cases we…

High Energy Physics - Theory · Physics 2007-05-23 Marcin Ostrowski

The high-temperature aspects of the Casimir force between two neutral conducting walls are studied. The mathematical model of "inert" ideal-conductor walls, considered in the original formulations of the Casimir effect, is based on the…

Statistical Mechanics · Physics 2016-08-31 Bernard Jancovici , Ladislav Samaj

Systematic description of a spin one-half system endowed with magnetic moment or any other two-level system (qubit) interacting with the quantized electromagnetic field is developed. This description exploits a close analogy between a…

Quantum Physics · Physics 2009-11-13 Iwo Bialynicki-Birula , Tomasz Sowinski

The symmetry studies of Maxwell equations gave new insight on the nature of electromagnetic (EM) field. It has in general case quaternion single structure, consisting of four independent field constituents, which differ with each other by…

Quantum Physics · Physics 2011-09-21 Dmitri Yerchuck , Alla Dovlatova , Andrey Alexandrov

Textbooks play a fundamental role in teaching and learning in school science classrooms. In this paper we investigate the presentation of the nature of the electromagnetic field in a dozen of the world's most popular introductory university…

Physics Education · Physics 2023-05-10 Álvaro Suárez , Arturo C. Marti , Kristina Zuza , Jenaro Guisasola

We argue that the results for the vacuum forces on a slab and on an atom embedded in a magnetodielectric medium near a mirror, obtained using a recently suggested Lorentz-force approach to the Casimir effect, are equivalent to the…

Quantum Physics · Physics 2009-11-11 M. S. Tomas

A thoughtless treatment of Maxwell's equations can lead to the interpretation of the existence of a causal relationship between their different terms and, therefore, that an electric field that varies in time generates a magnetic one and…

Physics Education · Physics 2025-01-14 Alvaro Suarez , Arturo C. Marti , Kristina Zuza , Jenaro Guisasola

The Casimir effect refers to the existence of a macroscopic force between conducting plates in vacuum due to quantum fluctuations of fields. These forces play an important role, among other things, in the design of nano-scale mechanical…

High Energy Physics - Theory · Physics 2015-06-03 Dimitra Karabali

Apparently, all partial differential equations that describe physical phenomena in space-time can be cast into a universal quasilinear, first-order form. In this paper, we do two things. First, we describe some broad features of systems of…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Robert Geroch

A general, exact formula is derived for the expectation value of the electromagnetic energy density of an inhomogeneous absorbing and dispersive dielectric medium in thermal equilibrium, assuming that the medium is well approximated as a…

Quantum Physics · Physics 2015-05-28 F. S. S. Rosa , D. A. R. Dalvit , P. W. Milonni

Traditionally, Electromagnetism is taught following the chronological development of the matter. The final product of this path is a presentation of Electromagnetism realized by adding one layer over another with the risk of transferring…

Physics Education · Physics 2025-03-18 Biagio Buonaura , Giuseppe Giuliani

The existence of the zero point electromagnetic field in the dark is a trivial property of classical electromagnetism. Splitting the total, genuine electromagnetic field into the sum of a conventional field and a zero point field is…

Optics · Physics 2007-05-23 Jacques Moret-Bailly

We develop a QED approach to find the contribution of the quantum vacuum to the electromagnetic Abraham force. Semi-classical theories predict diverging contributions from the quantum vacuum. We show that the divergencies disappear by…

Quantum Physics · Physics 2015-06-04 Bart Van Tiggelen , Sebastien Kawka , Geert L. J. A. Rikken

By resolving the Riemann curvature relative to a unit timelike vector into electric and magnetic parts, we consider duality relations analogous to the electromagnetic theory. It turns out that the duality symmetry of the Einstein action…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Naresh Dadhich

Whoever has to learn or to teach thermodynamics is confronted with conceptual difficulties which are specific to this field of physics ([1],[2]). It seems that they can be eliminated by inserting relativity in the thermodynamic theory. The…

General Physics · Physics 2007-11-28 Jean-Louis Tane

Teaching electromagnetism by demonstrating a practical application associated with learning content is an important teaching technique. Demonstrations are often performed through video-assisted procedures, and are usually limited to a…

Physics Education · Physics 2018-11-20 Jiro Kitagawa

The electron motion in rather strong magnetic fields (when only the lowest Landau level is populated) is considered. In this case the electron kinetic energy is frozen out and the electrons are guided by slowly varied potential. Using the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 A. Matulis