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In this paper we investigate the link between classical electrodynamics and the mass-energy equivalence principle, in view of the conclusions reached in ref.[1]. A formula for the radius of a charged particle is derived. The formula…

General Physics · Physics 2009-07-16 Ezzat G. Bakhoum

Gauge theory requires physical observables to be gauge-independent. However, ever since Lamb noticed the problem of gauge selection in calculating atomic spontaneous radiation spectrum, the problem of gauge dependence was encountered in…

Atomic Physics · Physics 2023-09-14 Xue-Nan Chen , Yu-Hang Luo , Xiang-Song Chen

Recently it was shown that classical "relativistic" particle dynamics was implicit in physics going back to Maxwell. The demonstration utilized a simple modification of a 1906 thought experiment by which Einstein established the mass…

History and Philosophy of Physics · Physics 2017-11-15 Allan Walstad

In this review we consider two different models of a hydrogenic atom in a quantized electromagnetic field that treat the electron relativistically. The first one is a no-pair model in the free picture, the second one is given by the…

Mathematical Physics · Physics 2014-02-11 Martin Könenberg , Oliver Matte , Edgardo Stockmeyer

In this work we show that relativistic contributions to the ground state energy of the hydrogen atom arising from the presence of a minimal length introduced by a Lorentz-covariant algebra are more relevant than non-relativistic ones, and…

High Energy Physics - Theory · Physics 2015-06-18 R. O. Francisco , T. L. Antonacci Oakes , J. C. Fabris , J. A. Nogueira

The self-energy and the vertex radiative corrections to the effect of parity nonconservation in heavy atoms are calculated analytically in orders Z alpha^2 and Z^2 alpha^3 ln(lambda_C/r_0), where lambda_C and r_0 being the Compton…

High Energy Physics - Phenomenology · Physics 2009-11-07 A. I. Milstein , O. P. Sushkov , I. S. Terekhov

The hydrogen atom as relativistic bound-state system of a proton and an electron in the complex-mass scheme is investigated. Interaction of a proton and an electron in the atom is described by the Lorentz-scalar Coulomb potential; the…

Quantum Physics · Physics 2019-03-19 Mikhail N. Sergeenko

The problem of the self-interaction of a quasi-rigid classical particle with an arbitrary spherically symmetric charge distribution is completely solved up to the first order in the acceleration. No ad hoc assumptions are made. It is shown…

Classical Physics · Physics 2007-05-23 Rodrigo Medina

Examination of equilibrium radiation in plasma media shows that the spectral the energy distribution of such radiation is different from the Planck equilibrium radiation. Using the previously obtained general relations for the spectral…

Statistical Mechanics · Physics 2019-09-04 Alexander M. Ignatov , Sergey A. Trigger

Attempts at an electromagnetic explanation of the inertial mass of charged particles have recently been revived within the framework of Stochastic Electrodynamics, characterized by the adoption of a classical version of the electromagnetic…

General Physics · Physics 2007-05-23 Michael Ibison

Parity nonconservation due to the nuclear weak charge is considered. We demonstrate that the radiative corrections to this effect due to the vacuum fluctuations of the characteristic size larger than the nuclear radius $r_0$ and smaller…

High Energy Physics - Phenomenology · Physics 2008-11-26 A. I. Milstein , O. P. Sushkov

Schrodinger's equation predicts something very peculiar about the electron in the Hydrogen atom: its total energy must be equal to zero. Unfortunately, an analysis of a zero-energy wavefunction for the electron in the Hydrogen atom has not…

General Physics · Physics 2015-05-13 Ezzat G. Bakhoum

Classical radiation power from an accelerated massive charge diverges in the zero-mass limit, while some general arguments suggest that strictly massless charge does not not radiate at all. On the other hand, the regularized classical…

High Energy Physics - Theory · Physics 2015-05-27 D. V. Gal'tsov

Position and momentum information measures are evaluated for the ground state of the \emph{relativistic} hydrogen-like atoms. Consequences of the fact that the radial momentum operator is not self-adjoint are explicitly studied, exhibiting…

Atomic Physics · Physics 2009-02-24 K. D. Sen , Jacob Katriel

It is pointed out that an electric charge oscillating in a one-dimensional purely-harmonic potential is in detailed balance at its harmonics with a radiation bath whose energy $U_{rad}$ per normal mode is linear in frequency $\omega$,…

Classical Physics · Physics 2020-09-15 Timothy H. Boyer

A fundamental issue in classical electrodynamics is represented by the search of the exact equation of motion for a classical charged particle under the action of its electromagnetic (EM) self-field - the so-called radiation-reaction…

Classical Physics · Physics 2008-09-22 M. Tessarotto , C. Cremaschini , M. Dorigo

We show that the locally constant force necessary to get a stable hyperbolic motion regime for classical charged point particles, actually, is a combination of an applied external force and of the electromagnetic radiation reaction force.…

General Relativity and Quantum Cosmology · Physics 2014-11-21 Mario Goto , Paulo Laerte Natti , Erica Regina Takano Natti

We use the semi-classical approximation in perturbative scalar quantum electrodynamics to calculate the quantum correction to the Larmor radiation formula to first order in Planck's constant in the non-relativistic approximation, choosing…

High Energy Physics - Theory · Physics 2013-05-29 A. Higuchi , P. J. Walker

We give an example in which it is possible to understand quantum statistics using classical concepts. This is done by studying the interaction of charged matter oscillators with the thermal and zeropoint electromagnetic fields…

Quantum Physics · Physics 2009-10-28 H. M. França , A. Maia , C. P. Malta

We study a classical model of Helium atom in which, in addition to the Coulomb forces, the radiation reaction forces are taken into account. This modification brings in the model a new qualitative feature of a global character. Indeed, as…

Mathematical Physics · Physics 2015-06-03 G. Camelio , A. Carati , L. Galgani