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This paper is a review of the canonical proper-time approach to relativistic mechanics and classical electrodynamics. The purpose is to provide a physically complete classical background for a new approach to relativistic quantum theory.…

Mathematical Physics · Physics 2010-09-17 Tepper L. Gill , Woodford W. Zachary

The action of certain static magnetic fields on charged test particles is interpreted as a consequence of the interaction of the particles with electric dipole distributions emitted by other charged particles in relative motion. The dipole…

General Physics · Physics 2016-10-21 Bhola N. Dwivedi , Horst Wilhelm , Klaus Wilhelm

We numerically calculate the energy and momentum transfer rates due to Coulomb scattering between two fluids moving with a relative velocity. The results are fitted by simple functions. The fitting formulae are useful to simulate outflows…

Astrophysics · Physics 2009-11-11 Katsuaki Asano , Shizuo Iwamoto , Fumio Takahara

Classical equations of motion that are first-order in time and conserve energy can only be quantized after their variables have been transformed to canonical ones, i.e., variables in which the energy is the system's Hamiltonian. The…

General Physics · Physics 2011-03-15 Steven Kenneth Kauffmann

Formulae relating one and the same force in two inertial frames of reference are derived directly from the Lorentz transformation of space and time coordinates and relativistic equation for the dynamic law of motion in three dimensions. We…

Physics Education · Physics 2007-05-23 Valery P. Dmitriyev

The Maxwell equations for the spherical components of the electromagnetic fields outside sources do not separate into equations for each component alone. We show, however, that general solutions can be obtained by separation of variables in…

Classical Physics · Physics 2007-05-23 E. A. Matute

Previous work on exact solutions has been shown that sources need to be appended to the field equation of Einstein's unified field theory in order to achieve physically meaningful results,such sources can be included in a variational…

General Relativity and Quantum Cosmology · Physics 2007-05-23 S. N. Pandey , B. K. Sinha , Raj Kumar

From the relativistic law of motion we attempt to deduce the field theories corresponding to the force law being linear and quadratic in 4-velocity of the particle. The linear law leads to the vector gauge theory which could be the abelian…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Parampreet Singh , Naresh Dadhich

A pointlike electric charge at rest is considered in the spacetime which is a wormhole connecting two otherwise Minkowskian spaces. The potential (i. e. a solution of the Maxwell equations) is split into two parts: one of them depends only…

General Relativity and Quantum Cosmology · Physics 2009-01-08 S. Krasnikov

By describing the dynamical evolution of a test charged particle in the presence of an electromagnetic field as a succession of infinitesimal Lorentz boosts and rotations it is possible to obtain the Lorentz Force of Electrodynamics. A…

Mathematical Physics · Physics 2009-01-21 J. Buitrago

The investigations of the author on a new independent theory of field, termed a vacuum field theory (VFT), have been presented in four publications. It has been based on the axioms for inactivated and activated state of vacuum. An inertial…

General Physics · Physics 2007-05-23 Georgy Kostadinov Gemedjiev

We study the full Maxwell-Dirac equations: Dirac field with minimally coupled electromagnetic field and Maxwell field with Dirac current as source. Our particular interest is the static case in which the Dirac current is purely time-like --…

Mathematical Physics · Physics 2008-11-26 Chris Radford , Hilary Booth

For a relativistic charged particle moving in a constant electromagnetic field, its velocity 4-vector has been well studied. However, despite the fact that both the electromagnetic field and the equations of motion are purely real, the…

Mathematical Physics · Physics 2009-11-13 Siu A. Chin

In this paper Maxwell equations are used to analyze the propagation of oscillating electric and magnetic fields from a moving electric dipole source. The results show that both the magnetic field and electric fields generated propagate…

General Physics · Physics 2007-05-23 William D. Walker

We argue that the definition of the thermodynamic work done on a charged particle by a time-dependent electromagnetic field is an open problem, because the particle's Hamiltonian is not gauge-invariant. The solution of this problem demands…

Statistical Mechanics · Physics 2016-06-29 A. E. Allahverdyan , S. G. Babajanyan

It is generally accepted that the dynamics of relativistic particles in the lab frame can be described by taking into account the relativistic dependence of the particles momenta on the velocity, with no reference to Lorentz…

Accelerator Physics · Physics 2017-04-07 Gianluca Geloni , Vitali Kocharyan , Evgeni Saldin

The Lorentz transformation is derived without assuming the existence of Maxwell's equations, or that the speed of light is a constant, or even that light exists. This leads us logically to sonsider the existence of a primal field called…

General Physics · Physics 2011-06-14 Edmund A. Di Marzio

The standard derivations of electromagnetic energy and momentum in media take Maxwell's equations as the starting point. It is well known that for dispersive media this approach does not directly yield exact expressions for the energy and…

Optics · Physics 2015-05-19 T. G. Philbin

This paper discusses an attempt to develop a mathematically rigorous theory of Quantum Electrodynamics (QED). It deviates from the standard version of QED mainly in two aspects: it is assumed that the Coulomb forces are carried by…

Quantum Physics · Physics 2019-01-07 Jan Naudts

The force due to electromagnetic induction on a test charge is calculated in different reference frames. The Faraday-Lenz Law and different formulae for the fields of a uniformly moving charge are used. The classical Heaviside formula for…

Classical Physics · Physics 2008-04-07 J. H. Field