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Journal articles on the topic 'Abraham-Lorentz'

Author: Grafiati

Published: 4 June 2021

Last updated: 18 February 2022

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1

Griffiths, David J., Thomas C. Proctor, and Darrell F. Schroeter. "Abraham–Lorentz versus Landau–Lifshitz." American Journal of Physics 78, no. 4 (2010): 391–402. http://dx.doi.org/10.1119/1.3269900.

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2

Birnholtz, Ofek. "Comments on initial conditions for the Abraham–Lorentz(–Dirac) equation." International Journal of Modern Physics A 30, no. 02 (2015): 1550011. http://dx.doi.org/10.1142/s0217751x15500116.

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An accelerating electric charge coupled to its own electromagnetic field both emits radiation and experiences the radiation's reaction as a (self-)force. Considering the system from an Effective Field Theory perspective, and using the physical initial conditions of no incoming radiation can help resolve many of the problems associated with the often considered "notorious" Abraham–Lorentz/Abraham–Lorentz–Dirac equations.

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3

Bosse, Jürgen. "Lorentz Atom Revisited by Solving the Abraham–Lorentz Equation of Motion." Zeitschrift für Naturforschung A 72, no. 8 (2017): 717–31. http://dx.doi.org/10.1515/zna-2017-0182.

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AbstractBy solving the non-relativistic Abraham–Lorentz (AL) equation, I demonstrate that the AL equation of motion is not suited for treating the Lorentz atom, because a steady-state solution does not exist. The AL equation serves as a tool, however, for deducing the appropriate parameters Ω and Γ to be used with the equation of forced oscillations in modelling the Lorentz atom. The electric polarisability, which many authors “derived” from the AL equation in recent years, is shown to violate Kramers–Kronig relations rendering obsolete the extracted photon-absorption rate, for example. Fortunately, errors turn out to be small quantitatively, as long as the light frequency ω is neither too close to nor too far from the resonance frequency Ω. The polarisability and absorption cross section are derived for the Lorentz atom by purely classical reasoning and are shown to agree with the quantum mechanical calculations of the same quantities. In particular, oscillator parameters Ω and Γ deduced by treating the atom as a quantum oscillator are found to be equivalent to those derived from the classical AL equation. The instructive comparison provides a deep insight into understanding the great success of Lorentz’s model that was suggested long before the advent of quantum theory.

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4

Campos, I., and J. L. Jiménez. "Energy balance and the Abraham–Lorentz equation." American Journal of Physics 57, no. 7 (1989): 610–13. http://dx.doi.org/10.1119/1.16135.

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5

Polonyi, Janos. "The Abraham–Lorentz force and electrodynamics at the classical electron radius." International Journal of Modern Physics A 34, no. 15 (2019): 1950077. http://dx.doi.org/10.1142/s0217751x19500775.

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The Abraham–Lorentz force is a finite remnant of the UV singular structure of the self-interaction of a point charge with its own field. The satisfactory description of such an interaction needs a relativistic regulator. This turns out to be a problematic point because the energy of regulated relativistic cutoff theories is unbounded from below. However, one can construct point-splitting regulators which keep the Abraham–Lorentz force stable. The classical language can be reconciled with QED by pointing out that the effective quantum theory for the electric charge supports a saddle point producing the classical radiation reaction forces.

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6

Land, Martin. "Abraham-Lorentz-Dirac equation in 5D Stuekelberg electrodynamics." Journal of Physics: Conference Series 330 (December 6, 2011): 012015. http://dx.doi.org/10.1088/1742-6596/330/1/012015.

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7

Brovetto, Piero, Vera Maxia, and Marcello Salis. "On the electron Zitterbewegung structure—The Abraham-Lorentz model revisited." Physics Essays 24, no. 4 (2011): 541–46. http://dx.doi.org/10.4006/1.3651711.

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8

Nakamura, Tatsufumi. "On the Schott Term in the Lorentz-Abraham-Dirac Equation." Quantum Beam Science 4, no. 4 (2020): 34. http://dx.doi.org/10.3390/qubs4040034.

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The equation of motion for a radiating charged particle is known as the Lorentz–Abraham–Dirac (LAD) equation. The radiation reaction force in the LAD equation contains a third time-derivative term, called the Schott term, which leads to a runaway solution and a pre-acceleration solution. Since the Schott energy is the field energy confined to an area close to the particle and reversibly exchanged between particle and fields, the question of how it affects particle motion is of interest. In here we have obtained solutions for the LAD equation with and without the Schott term, and have compared them quantitatively. We have shown that the relative difference between the two solutions is quite small in the classical radiation reaction dominated regime.

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9

Wang, Changbiao. "von Laue’s theorem and its applications." Canadian Journal of Physics 93, no. 12 (2015): 1470–76. http://dx.doi.org/10.1139/cjp-2015-0198.

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von Laue’s theorem, as well as its generalized form, is strictly proved in detail for its sufficient and necessary condition (SNC). This SNC version of Laue’s theorem is used to analyze the infinitely extended electrostatic field produced by a charged metal sphere in free space, and the static field confined in a finite region of space. It is shown in general that the total (Abraham=Minkowski) electromagnetic momentum and energy for the electrostatic field cannot constitute a Lorentz four-vector. A derivative von Laue’s theorem, which provides a criterion for a Lorentz invariant, is also presented.

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10

Carati, A. "An extension of Eliezer's theorem on the Abraham-Lorentz-Dirac equation." Journal of Physics A: Mathematical and General 34, no. 30 (2001): 5937–44. http://dx.doi.org/10.1088/0305-4470/34/30/305.

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11

Carati, A. "On the existence of scattering solutions for the Abraham-Lorentz-Dirac equation." Discrete & Continuous Dynamical Systems - B 6, no. 3 (2006): 471–80. http://dx.doi.org/10.3934/dcdsb.2006.6.471.

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12

Steane, Andrew M. "Reduced-order Abraham-Lorentz-Dirac equation and the consistency of classical electromagnetism." American Journal of Physics 83, no. 3 (2015): 256–62. http://dx.doi.org/10.1119/1.4897951.

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13

Brevik, Iver. "Remarks on the Abraham–Minkowski problem, in relation to recent radiation pressure experiments." International Journal of Modern Physics A 34, no. 28 (2019): 1941003. http://dx.doi.org/10.1142/s0217751x19410033.

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The classic electromagnetic energy–momentum problem in matter (usually called the Abraham–Minkowski problem) has attracted increased interest, as is natural in relation to the several impressive radiation pressure experiments that have appeared recently. Our intention with the present note is to focus attention on some of these results, and also to give a warning against premature interpretations of the observations. One sees often in the literature that the observable deflections of dielectric surfaces are interpreted so as to mean that the so-called Abraham term is a chief ingredient. Usually this is not so, however. Most of the experimental results are actually explainable by the surface forces at the dielectric surfaces, eventually augmented by Lorentz forces in the interior, and do not involve the Abraham momentum as such. For concreteness we focus mainly on a simplified version of the experiment of Kundu et al. (2017), but extend the analysis somewhat by including time-dependent resonance phenomena. In a short appendix we discuss also the connection with the Casimir effect.

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14

Jiménez, J. L., and I. Campos. "A critical examination of the Abraham–Lorentz equation for a radiating charged particle." American Journal of Physics 55, no. 11 (1987): 1017–23. http://dx.doi.org/10.1119/1.14927.

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15

Hugrass, W. N. "A New Derivation for the Radiation Reaction Force." Australian Journal of Physics 50, no. 4 (1997): 815. http://dx.doi.org/10.1071/p96094.

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A new derivation for the radiation reaction on a point charge is presented. The field of the charge is written as a superposition of plane waves. The plane wave spectrum of the field consists of homogeneous plane waves which propagate away from the charge at the speed of light, and inhomogeneous plane waves which constitute the Coulomb field of the point charge. The radiation field is finite at the orbit of the point charge. The force acting on the charge due to this field is the well known Abraham-Lorentz radiation reaction.

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16

Sokolov, I. V. "Renormalization of the Lorentz-Abraham-Dirac equation for radiation reaction force in classical electrodynamics." Journal of Experimental and Theoretical Physics 109, no. 2 (2009): 207–12. http://dx.doi.org/10.1134/s1063776109080044.

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17

Bellotti, U., and M. Bornatici. "Energy conservation equation for a radiating pointlike charge in the context of the Abraham-Lorentz versus the Abraham-Becker radiation-reaction force." Physical Review E 56, no. 6 (1997): 7232–34. http://dx.doi.org/10.1103/physreve.56.7232.

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18

ALBA, DAVID, and LUCA LUSANNA. "THE LIENARD–WIECHERT POTENTIAL OF CHARGED SCALAR PARTICLES AND THEIR RELATION TO SCALAR ELECTRODYNAMICS IN THE REST-FRAME INSTANT FORM." International Journal of Modern Physics A 13, no. 16 (1998): 2791–831. http://dx.doi.org/10.1142/s0217751x98001426.

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After a summary of a recently proposed new type of instant form of dynamics (the Wigner-covariant rest-frame instant form), the reduced Hamilton equations in the covariant rest-frame Coulomb gauge for the isolated system of N scalar particles with pseudoclassical Grassmann-valued electric charges plus the electromagnetic field are studied. The Lienard–Wiechert potentials of the particles are evaluated and it is shown how the causality problems of the Abraham–Lorentz–Dirac equation are solved at the pseudoclassical level. Then, the covariant rest-frame description of scalar electrodynamics is given. Applying to it the Feshbach–Villars formalism, the connection with the particle plus electromagnetic field system is found.

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19

DAVIDSON, A., B. MARGOLIS, J. ROBINSON, and P. VALIN. "LIGHT FERMION MASSES FROM SU(3)color×U(1)e.m.?" Modern Physics Letters A 04, no. 12 (1989): 1159–67. http://dx.doi.org/10.1142/s0217732389001349.

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We consider the hypothesis that (i) mv≃0 because the neutrino is SU (3)c× U (1) e.m. neutral, (ii) m electron = 0 at the isospin limit where mu=md, and (iii) all first-generation fer-mions turn massless as αc, α e.m. →0. This hypothesis is supported by the empirical Abraham-Lorentz-type mass formula m=(ζ1Q+ζ2B)2, whose quadratic structure is attributed to a universal seesaw mechanism. We demonstrate how such a formula can stay exact even when switching on the inter-generational mixings. We present a complete model with the above features which gives quark and lepton masses and the K-M matrix, including CP violation.

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20

Tsekov, Roumen. "Brownian Emitters." Fluctuation and Noise Letters 15, no. 04 (2016): 1650022. http://dx.doi.org/10.1142/s021947751650022x.

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A Brownian harmonic oscillator, which dissipates energy either by friction or via emission of electromagnetic radiation, is considered. This Brownian emitter is driven by the surrounding thermo-quantum fluctuations, which are theoretically described by the fluctuation–dissipation theorem. It is shown how the Abraham–Lorentz force leads to dependence of the half-width on the peak frequency of the oscillator amplitude spectral density. It is found that for the case of a charged particle moving in vacuum at zero temperature, its root-mean-square velocity fluctuation is a universal constant, equal to roughly 1/18 of the speed of light. The relevant Fokker–Planck and Smoluchowski equations are also derived.

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21

Wang, Changbiao. "Can the Abraham Light Momentum and Energy in a Medium Constitute a Lorentz Four-Vector?" Journal of Modern Physics 04, no. 08 (2013): 1123–32. http://dx.doi.org/10.4236/jmp.2013.48151.

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22

Rosenfelder, R., and A. W. Schreiber. "An Abraham-Lorentz-like equation for the electron from the worldline variational approach to QED." European Physical Journal C 37, no. 2 (2004): 161–71. http://dx.doi.org/10.1140/epjc/s2004-01996-8.

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23

Belich, Humberto Belich. "Spin-1/2 Charged Particle in 1+4 dimensions with N=1-Supersymmetry." JOURNAL OF ADVANCES IN PHYSICS 8, no. 3 (2015): 2249–55. http://dx.doi.org/10.24297/jap.v8i3.1488.

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We study the dynamics of a charged spin-(1/2) particle in an external 5-dimensional electromagnetic field. We then consider that we are at the TeV scale, so that we can access the fifth dimension and carry out our physical considerations in a 5-dimensional brane. In this brane, we focus our attention to the quantum-mechanical dynamics of the charged particle minimally coupled to the 5-dimensional electromagnetic field. We propose a way to identify the Abraham-Lorentz back reaction force as an effect of the extra ( fifth ) dimension. In another regime of fields allowed by the model, a massive charged particle (CHAMP) behaviour can be, in which the bulk electric field play a crucial rÃ´le.

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24

Sokolov, I. V. "Erratum to: “Renormalization of the Lorentz–Abraham–Dirac equation for radiation reaction force in classical electrodynamics”." Journal of Experimental and Theoretical Physics 123, no. 5 (2016): 918. http://dx.doi.org/10.1134/s1063776116130239.

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25

Carati, A., and M. Stroppi. "Non uniqueness of non runaway solutions of Abraham—Lorentz—Dirac equation in an external laser pulse." Physica Scripta 96, no. 5 (2021): 055216. http://dx.doi.org/10.1088/1402-4896/abe90d.

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26

Newman, Ezra. "GR and classical mechanics: Magic?" International Journal of Modern Physics D 27, no. 14 (2018): 1846003. http://dx.doi.org/10.1142/s0218271818460033.

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A new fundamental ingredient is introduced in the study of Asymptotically Flat Einstein–Maxwell Spacetimes, namely the change of coordinate systems from the standard ones constructed from the infinite number of possible Bondi null surfaces to those based on the four complex-parameter set, [Formula: see text], of Asymptotically Shear–Free (ASF) null surfaces. ASF coordinate systems are determined by “world-lines” in the parameter space, [Formula: see text]. Setting a Weyl tensor component, defined as the complex-mass-dipole, to zero, a unique complex center of mass/charge “world-line” is obtained. From this line and Bianchi identities, much of classical mechanics is directly obtained: spin, orbital angular momentum, kinematic momentum, angular momentum conservation, energy–momentum conservation, Newton’s second law with Abraham–Lorentz–Dirac radiation reaction, Rocket force and Dirac g-factor.

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27

Maclay, G. "The Role of Vacuum Fluctuations and Symmetry in the Hydrogen Atom in Quantum Mechanics and Stochastic Electrodynamics." Atoms 7, no. 2 (2019): 39. http://dx.doi.org/10.3390/atoms7020039.

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Stochastic Electrodynamics (SED) has had success modeling black body radiation, the harmonic oscillator, the Casimir effect, van der Waals forces, diamagnetism, and uniform acceleration of electrodynamic systems using the stochastic zero-point fluctuations of the electromagnetic field with classical mechanics. However the hydrogen atom, with its 1/r potential remains a critical challenge. Numerical calculations have shown that the SED field prevents the electron orbit from collapsing into the proton, but, eventually the atom becames ionized. We look at the issues of the H atom and SED from the perspective of symmetry of the quantum mechanical Hamiltonian, used to obtain the quantum mechanical results, and the Abraham-Lorentz equation, which is a force equation that includes the effects of radiation reaction, and is used to obtain the SED simulations. We contrast the physical computed effects of the quantized electromagnetic vacuum fluctuations with the role of the real stochastic electromagnetic field.

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28

Birnholtz, Ofek, Shahar Hadar, and Barak Kol. "Radiation reaction at the level of the action." International Journal of Modern Physics A 29, no. 24 (2014): 1450132. http://dx.doi.org/10.1142/s0217751x14501322.

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The aim of this paper is to highlight a recently proposed method for the treatment of classical radiative effects, in particular radiation reaction, via effective field theory methods. We emphasize important features of the method and in particular the doubling of fields. We apply the method to two simple systems: a mass–rope system and an electromagnetic charge-field system. For the mass–rope system in 1 + 1 dimensions we derive a double-field effective action for the mass which describes a damped harmonic oscillator. For the EM charge-field system, i.e. the system of an accelerating electric charge in 3 + 1 dimensions, we show a reduction to a 1 + 1 dimensions radial system of an electric dipole source coupled to an electric dipole field (analogous to the mass coupled to the rope). For this system we derive a double-field effective action and reproduce in an analogous way the leading part of the Abraham–Lorentz–Dirac force.

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29

Kaufman, Alexander R., and David C. Latimer. "A comparison of the bremsstrahlung cross section in two frameworks: classical Lorentz–Abraham–Dirac dynamics and quantum field theory." Physica Scripta 95, no. 3 (2020): 035302. http://dx.doi.org/10.1088/1402-4896/ab4465.

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30

Grøn, Ø. "The significance of the Schott energy for energy-momentum conservation of a radiating charge obeying the Lorentz–Abraham–Dirac equation." American Journal of Physics 79, no. 1 (2011): 115–22. http://dx.doi.org/10.1119/1.3488985.

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31

Jiménez, J. L., and I. Campos. "Erratum: Correction for ‘‘A Critical Examination of the Abraham–Lorentz equation for a radiating charged particle’’ [Am. J. Phys. 55, 1017 (1987)]." American Journal of Physics 56, no. 5 (1988): 471. http://dx.doi.org/10.1119/1.15775.

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32

Ozaki, Masao, and Shigeru Sasabe. "Abraham-Lorentz equation in quantum mechanics." Physical Review A 80, no. 2 (2009). http://dx.doi.org/10.1103/physreva.80.024102.

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33

Tulipánt, Zoltán. "Radiation reaction from quantum electrodynamics and its implications for the Unruh effect." European Physical Journal C 81, no. 4 (2021). http://dx.doi.org/10.1140/epjc/s10052-021-09073-0.

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AbstractThe Abraham–Lorentz–Dirac theory predicts vanishing radiation reaction for uniformly accelerated charges. However, since an accelerating observer should detect thermal radiation, the charge should be seen absorbing photons in the accelerated frame which, if nothing else occurs, would influence its motion. This means that either there is radiation reaction seen in an inertial frame or there should be an additional phenomenon seen in the accelerated frame countering the effect of absorption. In this paper I rederive the Abraham–Lorentz–Dirac force from quantum electrodynamics, then I study the case of a uniformly accelerated charge. I show that in the accelerated frame, in addition to the absorption of photons due to the Unruh effect there should also be stimulated emission. The net effect of these phenomena on the motion of the charge is found to be zero.

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34

Silva, Ellen Carolinie Gomes e., and Yony Walter Gonzales. "Potência de Larmor de uma partícula carregada submetida a um campo elétrico gerado por dois discos dielétricos homogeneamente carregados." Revista Brasileira de Ensino de Física 43 (2021). http://dx.doi.org/10.1590/1806-9126-rbef-2020-0412.

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Neste artigo, investigamos a dinâmica de uma partícula carregada quando submetida a um campo elétrico gerado por dois discos dielétricos e homogêneos. Analisamos a construção da equação de movimento para a carga acelerada, que na aproximação linear da força elétrica resulta num Movimento Harmônico Simples (MHS). Posteriormente, a força de radiação de Abraham-Lorentz é incorporada na equação de movimento devido o movimento acelerado da carga resultar na emissão de radiação de energia e, nessa situação, se comporta como um Oscilador Harmônico Amortecido (OHA). E calculamos a potência de radiação de Larmor para esse movimento amortecido da partícula.

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35

Bulanov, Sergei V., Timur Zh Esirkepov, Masaki Kando, James K. Koga, and Stepan S. Bulanov. "Lorentz-Abraham-Dirac versus Landau-Lifshitz radiation friction force in the ultrarelativistic electron interaction with electromagnetic wave (exact solutions)." Physical Review E 84, no. 5 (2011). http://dx.doi.org/10.1103/physreve.84.056605.

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36

Johnson, Philip R., and B. L. Hu. "Stochastic theory of relativistic particles moving in a quantum field: Scalar Abraham-Lorentz-Dirac-Langevin equation, radiation reaction, and vacuum fluctuations." Physical Review D 65, no. 6 (2002). http://dx.doi.org/10.1103/physrevd.65.065015.

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37

Heidari, Alireza, Katrina Schmitt, Maria Henderson, and Elizabeth Besana. "Abraham-lorentz-dirac force approach to interaction of synchrotron radiation emission as a function of the beam energy and rutherfordium nanoparticles using 3D finite element method (FEM) as an optothermal human cancer cells, tissues and tumors treatment." Dental, Oral and Maxillofacial Research 6, no. 2 (2020). http://dx.doi.org/10.15761/domr.1000338.

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38

Heidari, Alireza, Katrina Schmitt, Maria Henderson, and Elizabeth Besana. "Scalar abraham-lorentz-dirac-langevin equation, radiation reaction and vacuum fluctuations simulation of interaction of synchrotron radiation emission as a function of the beam energy and tennessine nanoparticles using 3d finite element method (FEM) as an optothermal human cancer cells, tissues and tumors treatment." Dental, Oral and Maxillofacial Research 6, no. 2 (2020). http://dx.doi.org/10.15761/domr.1000341.

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