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It is shown that the field equations derived from an effective interaction hamiltonian for Maxwell and gravitational fields in the semiclassical approximation of loop quantum gravity using rotational invariant states (such as weave states)…

广义相对论与量子宇宙学 · 物理学 2009-11-10 C. N. Kozameh , M. F. Parisi

Suggested modification of the Einstein-Maxwell system, such that Maxwell equations become non-gauge and nonlinear. The theory is based on assumption that observable (i.e., felt by particles) metric is $ {\tilde{g}}_{ab} = g_{ab} -…

综合物理 · 物理学 2007-05-23 Dmitriy Palatnik

Motivated by the century-old problem of modeling the electron as a pointlike particle with finite self energy, we develop a new class of nonlinear perturbations of Maxwell's electrodynamics inspired by, but distinct from, the Born--Infeld…

经典物理 · 物理学 2025-10-15 Tengyang Liu , Yisong Yang

Atomic-like systems in which electronic motion is two dimensional are now realizable as ``quantum dots''. In place of the attraction of a nucleus there is a confining potential, usually assumed to be quadratic. Additionally, a perpendicular…

凝聚态物理 · 物理学 2007-05-23 E. H. Lieb , J. P. Solovej , J. Yngvason

We show that Maxwell's electromagnetism can be mapped into the Born-Infeld theory in a curved space-time, which depends only on the electromagnetic field in a specific way. This map is valid for any value of the two lorentz invariants $F$…

广义相对论与量子宇宙学 · 物理学 2011-11-14 M. Novello , F. T. Falciano , E. Goulart

The unified field is a Maxwell-Lorentz field. Maxwell-Lorentz equations for potentials in standard four-dimensional form are satisfied exactly. This is achieved by involving new fundamental field sources, strict definition of which requires…

综合物理 · 物理学 2007-05-23 Alexander S. Zazerskiy

Using two new well defined 4-dimensional potential vectors, we formulate the classical Maxwell's field theory in a form which has manifest Lorentz covariance and SO(2) duality symmetry in the presence of magnetic sources. We set up a…

高能物理 - 理论 · 物理学 2009-11-07 Wen-Jun Chen , Kang Li , Carlos Naón

Einstein, Infeld, and Hoffmann (EIH) claimed that the field equations of general relativity theory alone imply the equations of motion of neutral matter particles, viewed as point singularities in space-like slices of spacetime; they also…

广义相对论与量子宇宙学 · 物理学 2019-09-25 Michael K. -H. Kiessling , A. Shadi Tahvildar-Zadeh

Based on the analysis of biquaternion quadratic forms of field, it is shown that Maxwell equations arise as a consequence of the principle of conservation of the energy-momentum flow of field in space-time. It turns out that this principle…

经典物理 · 物理学 2024-03-05 Sergey Y. Kotkovskiy

Canonical quantization of electromagnetic field inside the time--spatially dispersive inhomogeneous dielectrics is presented. Interacting electromagnetic and matter excitation fields create the closed system, Hamiltonian of which may be…

量子物理 · 物理学 2009-10-28 Zdenek Hradil

A model is proposed for the classical electron as a point charge with finite electromagnetic self-energy. Modifications of the Reissner-Nordstr{\o}m (spin 0) and Kerr-Newman (spin 1/2) solutions of the Einstein-Maxwell equations are…

数学物理 · 物理学 2014-11-18 S. M. Blinder

We successively apply the generalized Case-Foldy-Feshbach-Villars (CFFV) and the Foldy-Wouthuysen (FW) transformation to derive the Hamiltonian for relativistic scalar particles in an electromagnetic field. In contrast to the original…

数学物理 · 物理学 2008-12-18 Alexander J. Silenko

It is shown that the massless $j=1$ Weinberg-Tucker-Hammer equations reduce to the Maxwell's equations for electromagnetic field under the definite choice of field functions and initial and boundary conditions. Thus, the former appear to be…

高能物理 - 理论 · 物理学 2014-11-18 Valeri V. Dvoeglazov

The formalism based on the equal-time Wigner function of the two-point correlation function for a quantized Klein--Gordon field is presented. The notion of the gauge-invariant Wigner transform is introduced and equations for the…

高能物理 - 唯象学 · 物理学 2009-10-22 C. Best , P. Gornicki , W. Greiner

Electromagnetic fields of a massless charged particle are described by a gauge potential that is almost everywhere pure gauge. Solution of quantum mechanical wave equations in the presence of such fields is therefore immediate and leads to…

高能物理 - 理论 · 物理学 2016-04-20 Roman Jackiw , Dan Kabat , Miguel Ortiz

The quantization of the electromagnetic field in a three-dimensional inhomogeneous dielectric medium with losses is carried out in the framework of a damped-polariton model with an arbitrary spatial dependence of its parameters. The…

量子物理 · 物理学 2018-08-17 L. G. Suttorp , M. Wubs

In this paper, we present a novel semi-classical theory of the electrostatic and magnetostatic fields and explain the nonlocality problem in the context of the Aharonov-Bohm effect [1]. Specifically, we show that the electrostatic and the…

综合物理 · 物理学 2021-08-18 Kolahal Bhattacharya

All nonlinear extensions of the source-free Maxwell equations preserving both SO(2) electromagnetic duality invariance and conformal invariance are found, and shown to be limits of a one-parameter generalisation of Born-Infeld…

高能物理 - 理论 · 物理学 2021-01-04 Igor Bandos , Kurt Lechner , Dmitri Sorokin , Paul K. Townsend

The electric potential and the electromagnetic field for a linearly accelerated Born-Infeld charged particle are obtained in an inertial frame by a method that can, in principle, be applied to any electromagnetic theory. The method is based…

广义相对论与量子宇宙学 · 物理学 2024-07-08 M. L. Peñafiel , S. E. Perez Bergliaffa

The quantization of Einstein-Maxwell theory with a cosmological constant is considered. We obtain all logarithmically divergent terms in the one-loop effective action that involve only the background electromagnetic field. This includes…

高能物理 - 理论 · 物理学 2009-11-06 David J. Toms