scholarly journals Quantum Power Distribution of Relativistic Acceleration Radiation: Classical Electrodynamic Analogies with Perfectly Reflecting Moving Mirrors

Symmetry ◽  
2021 ◽  
Vol 13 (4) ◽  
pp. 653
Author(s):  
Abay Zhakenuly ◽  
Maksat Temirkhan ◽  
Michael R. R. Good ◽  
Pisin Chen
Keyword(s):  
Power Distribution ◽  
Point Charge ◽  
Lorentz Invariance ◽  
Classical Electrodynamic ◽  
Classical Electrodynamics ◽  
Charge Radiation

We find the quantum power emitted and distribution in 3 + 1-dimensions of relativistic acceleration radiation using a single perfectly reflecting mirror via Lorentz invariance, demonstrating close analogies to point charge radiation in classical electrodynamics.

Electromagnetism and special relativity

2018 ◽  
Author(s):  
J. Pierrus
Keyword(s):  
Electromagnetic Field ◽  
Special Relativity ◽  
Point Charge ◽  
Reference Frames ◽  
Classical Electrodynamics ◽  
Covariant Form ◽  
Field Tensor ◽  
Electromagnetic Field Tensor ◽  
Preferred Reference Frame ◽  
Physical Quantities

In 1905, when Einstein published his theory of special relativity, Maxwell’s work was already about forty years old. It is therefore both remarkable and ironic (recalling the old arguments about the aether being the ‘preferred’ reference frame for describing wave propagation) that classical electrodynamics turned out to be a relativistically correct theory. In this chapter, a range of questions in electromagnetism are considered as they relate to special relativity. In Questions 12.1–12.4 the behaviour of various physical quantities under Lorentz transformation is considered. This leads to the important concept of an invariant. Several of these are encountered, and used frequently throughout this chapter. Other topics considered include the transformationof E- and B-fields between inertial reference frames, the validity of Gauss’s law for an arbitrarily moving point charge (demonstrated numerically), the electromagnetic field tensor, Maxwell’s equations in covariant form and Larmor’s formula for a relativistic charge.

scholarly journals THE SELF-FORCE OF A CHARGED PARTICLE IN CLASSICAL ELECTRODYNAMICS WITH A CUTOFF

1999 ◽  
Vol 13 (03) ◽  
pp. 315-324 ◽  
Author(s):  
J. FRENKEL ◽  
R. B. SANTOS
Keyword(s):  
Charged Particle ◽  
Special Relativity ◽  
Point Charge ◽  
Equation Of Motion ◽  
The Self ◽  
Classical Electrodynamics ◽  
Exact Equation ◽  
Electromagnetic Mass ◽  
Self Force

We discuss, in the context of classical electrodynamics with a Lorentz invariant cutoff at short distances, the self-force acting on a point charged particle. It follows that the electromagnetic mass of the point charge occurs in the equation of motion in a form consistent with special relativity. We find that the exact equation of motion does not exhibit runaway solutions or non-causal behavior, when the cutoff is larger than half of the classical radius of the electron.

scholarly journals Aplikasi Aljabar Geometris Pada Teori Elektrodinamika Klasik

2012 ◽  
Vol 1 (2) ◽  
pp. 89
Author(s):  
Joko Purwanto
Keyword(s):  
Geometric Algebra ◽  
Maxwell’S Equations ◽  
Maxwell's Equations ◽  
Classical Electrodynamic ◽  
Classical Electrodynamics ◽  
Theoretical Formulation

In this paper geometric algebra and its aplication in the theory of classical electrodynamic will  be studied. Geometric algebra provide many simplification and new insight in the theoretical formulation and physical aplication of theory. In this work has been studied aplication of geometric algebra in classical electrodynamics especially Maxwell’s equations. Maxwell’s equations was formulated in one compact equation ÑF=J. The various equation parts are easily identified by their  grades.

scholarly journals On the calculus of Dirac delta function with some applications in classical electrodynamics

2021 ◽  
Vol 18 (2 Jul-Dec) ◽  
pp. 020205
Author(s):  
Milan S. Kovacevic ◽  
Miroslav R. Jovanovic ◽  
Marko M. Milosevic
Keyword(s):  
Charge Density ◽  
Point Charge ◽  
Delta Function ◽  
Analytical Framework ◽  
Dirac Delta Function ◽  
Classical Electrodynamics ◽  
Mathematical Tool ◽  
Point Dipole ◽  
Dirac Delta ◽  
Physics Curriculum

The Dirac delta function is a concept that is useful throughout physics as a standard mathematical tool that appears repeatedly in the undergraduate physics curriculum including electrodynamics, optics, and quantum mechanics. Our analysis was guided by an analytical framework focusing on how students activate, construct, execute, and reflect on the Dirac delta function in the context of classical electrodynamics problems solving. It’s applications in solving the charge density associated with a point charge as well as electrostatic point dipole field, for more advanced situations to describe the charge density of hydrogen atom were presented.

scholarly journals POINT CHARGE SELF-ENERGY IN THE GENERAL RELATIVITY

2005 ◽  
Vol 20 (11) ◽  
pp. 2288-2293
Author(s):  
M. B. GOLUBEV ◽  
S. R. KELNER
Keyword(s):  
Point Charge ◽  
Momentum Tensor ◽  
Generalized Functions ◽  
Einstein Equations ◽  
Classical Electrodynamics ◽  
Classical Solutions ◽  
Complex Nature ◽  
Einstein Tensor ◽  
Self Energy ◽  
Divergence Problem

Singularities in the metric of the classical solutions to the Einstein equations (Schwarzschild, Kerr, Reissner – Nordström and Kerr – Newman solutions) lead to appearance of generalized functions in the Einstein tensor that are not usually taken into consideration. The generalized functions can be of a more complex nature than the Dirac δ-function. To study them, a technique has been used based on a limiting solution sequence. The solutions are shown to satisfy the Einstein equations everywhere, if the energy-momentum tensor has a relevant singular addition of non-electromagnetic origin. When the addition is included, the total energy proves finite and equal to mc2, while for the Kerr and Kerr–Newman solutions the angular momentum is mca. As the Reissner–Nordström and Kerr–Newman solutions correspond to the point charge in the classical electrodynamics, the result obtained allows us to view the point charge self-energy divergence problem in a new fashion.

Space–time diagram approach in derivation of Lienard–Wiechert potential for a moving point charge

2013 ◽  
Vol 91 (7) ◽  
pp. 519-521
Author(s):  
Biswaranjan Dikshit
Keyword(s):  
Point Charge ◽  
Scalar Potential ◽  
Charged Particles ◽  
Space Time ◽  
Classical Electrodynamics ◽  
Magnetic Vector Potential ◽  
Time Diagram ◽  
Magnetic Vector ◽  
Electric And Magnetic Fields ◽  
Diagram Approach

In classical electrodynamics, electric and magnetic fields at a point due to moving charges are calculated from the electric scalar potential and magnetic vector potential. For a moving point charge, this potential is known as Lienard–Wiechert potential and is derived in many different ways in textbooks. In this paper, we derive the retarded Lienard–Wiechert potential in a new graphical manner using space–time diagrams so that the derivation becomes more appealing and we can visualize the reason for the presence of an additional velocity-dependant factor in the denominator of the expression for the Lienard–Wiechert potential. The derivation is valid even for charged particles moving at relativistic speeds.

Equivalence principle and point charge radiation

1999 ◽  
Vol 4 (0) ◽  
pp. 102-111
Author(s):  
Р. Р. Ломпей ◽  
С. Ю. Медведєв
Keyword(s):  
Equivalence Principle ◽  
Point Charge ◽  
Charge Radiation

scholarly journals On the quantization of the new field theory II

1935 ◽  
Vol 150 (869) ◽  
pp. 141-166 ◽  
Keyword(s):  
Field Theory ◽  
Quantum Mechanics ◽  
Closed System ◽  
Point Charge ◽  
Existence Of Solutions ◽  
Lorentz Invariance ◽  
Mass Point ◽  
Simple Explanation ◽  
Closed Systems ◽  
Quantized Field

The purpose of this paper, which is a continuation of the recently published Part I, is the proof that the quantum mechanics of a particle can be derived from the new field theory, with the help of the following conceptions. In the classical treatment of the field theory we have shown the existence of solutions corresponding to closed systems, such as that of a point charge. We assume that such solutions, representing closed systems, exist also in the quantized field theory. We shall show that a closed system as a whole, with respect to suitably chosen properties, behaves as a mass-point in quantum mechanics and that some hitherto rather unclear features of Dirac’s theory have a natural and simple explanation. This result is closely connected with the Lorentz invariance of the unitary field theory.

Classical electrodynamics of a point particle from action integral

1992 ◽  
Vol 439 (1907) ◽  
pp. 559-581
Keyword(s):  
Point Charge ◽  
Magnetic Dipole Moment ◽  
Equation Of Motion ◽  
Point Particle ◽  
Classical Electrodynamics ◽  
New Approach ◽  
Action Integral ◽  
Singular Theory ◽  
Standard Action ◽  
Spin Equation

A new approach to the classical electrodynamics of a point particle (with arbitrary finite number of electromagnetic moments) is presented. It is argued that the notion of a non-singular pointlike current, previously introduced by the author, appropriately describes an electromagnetic point particle. This current is then used in the most standard action integral of an electromagnetic field in interaction with matter to yield a non-singular theory. In the simplest cases this theory yields the Lorentz–Dirac equation of motion of a point charge, or its generalization together with the spin equation of motion for a point charge with an intrinsic magnetic dipole moment. No approximations are involved. From the general theory the conservation of the energy-momentum and of the angular momentum follows.

Retarded Integration in Classical Electrodynamics

1978 ◽  
Vol 33 (6) ◽  
pp. 619-626 ◽  
Author(s):  
M. Sorg
Keyword(s):  
Point Charge ◽  
Classical Electrodynamics ◽  
Uniform Motion ◽  
Asymptotic Condition ◽  
Integration Procedure ◽  
Electromagnetic Interactions ◽  
Stokes Integral

Abstract The bound and emitted four-momentum of an accelerated point charge is calculated in a direct manner without use of Gauß' or Stokes' integral theorems. This new integration procedure accounts most naturally for the retarded character of the electromagnetic interactions and, if applied to the bound four-momentum, reveals that the asymptotic condition of uniform motion in the distant past can be weakened essentially.

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