scholarly journals Erratum to: Approximate relativistic equations of motion for an extended charged particle in an inhomogeneous external electromagnetic field

1964 ◽  
Vol 32 (4) ◽  
pp. 1131-1131 ◽  
Author(s):  
P. Nyborg
Keyword(s):  
Electromagnetic Field ◽  
Charged Particle ◽  
Equations Of Motion ◽  
External Electromagnetic Field ◽  
Relativistic Equations ◽  
Extended Charged Particle

scholarly journals On the classical theory of particles

1948 ◽  
Vol 194 (1039) ◽  
pp. 543-555 ◽  
Keyword(s):  
Electromagnetic Field ◽  
Cross Section ◽  
Classical Theory ◽  
Incident Light ◽  
Equations Of Motion ◽  
Universal Constant ◽  
External Electromagnetic Field ◽  
Dirac Equations ◽  
Lorentz Theory ◽  
Relativistic Equations

A set of classical relativistic equations of motion of an electron in an electromagnetic field is postulated. These equations are free from ‘run-away’ solutions, and give the same results as the Maxwell-Lorentz theory for non-relativistic motions when the external electromagnetic field does not vary too rapidly. For the scattering of light by an electron, the scattering crosssection is independent of the frequency and is a universal constant. This brings out a point of difference from the Lorentz-Dirac equations according to which the scattering cross-section varies inversely as the square of the frequency of the incident light, for large frequencies. For the motion of an electron towards a fixed proton, the equations allow a collision, unlike the Lorentz-Dirac equations according to which the electron is brought to rest before it reaches the proton.

Classical electrodynamics: the equation of motion

1974 ◽  
Vol 76 (1) ◽  
pp. 359-367 ◽  
Author(s):  
P. A. Hogan
Keyword(s):  
Electromagnetic Field ◽  
Charged Particle ◽  
Scalar Field ◽  
World Line ◽  
External Electromagnetic Field ◽  
Equation Of Motion ◽  
The Self ◽  
Classical Electrodynamics ◽  
Field Equations ◽  
The World

In this paper we derive the Lorentz-Dirac equation of motion for a charged particle moving in an external electromagnetic field. We use Maxwell's electromagnetic field equations together with the assumptions (1) that all fields are retarded and (2) that the 4-force acting on the charged particle is a Lorentz 4-force. To define the self-field on the world-line of the charge we utilize a contour integral representation for the field due to A. W. Conway. This by-passes the need to define an ‘average field’. In an appendix the case of a scalar field is briefly discussed.

PARAXIAL APPROXIMATION OF THE VLASOV-MAXWELL SYSTEM: LAMINAR BEAMS

1994 ◽  
Vol 04 (02) ◽  
pp. 203-221 ◽  
Author(s):  
A. NOURI
Keyword(s):  
Electromagnetic Field ◽  
Charged Particle ◽  
Initial Data ◽  
Global Existence ◽  
Local Existence ◽  
Sufficient Conditions ◽  
External Electromagnetic Field ◽  
Evolution System ◽  
Lagrangian Coordinates ◽  
Maxwell System

The Vlasov-Maxwell stationary system for charged particle laminar beams is studied with a paraxial model of approximation. It leads to a degenerate evolution system, which local existence is proved. Then, using lagrangian coordinates, with sufficient conditions on the initial data and the external electromagnetic field, it is shown that global existence is possible.

Energy of a classical charged particle in an external electromagnetic field

1987 ◽  
Vol 8 (4) ◽  
pp. 236-244 ◽  
Author(s):  
D H Kobe ◽  
Kuo-Ho Yang
Keyword(s):  
Electromagnetic Field ◽  
Charged Particle ◽  
External Electromagnetic Field

CHARGED PARTICLE DYNAMICS IN THE FIELD OF A SLOWLY ROTATING COMPACT STAR

2005 ◽  
Vol 14 (03n04) ◽  
pp. 609-620 ◽  
Author(s):  
BABUR M. MIRZA
Keyword(s):  
Electromagnetic Field ◽  
Charged Particle ◽  
Compact Star ◽  
Equations Of Motion ◽  
Geodesic Equation ◽  
Slow Rotation ◽  
Axially Symmetric ◽  
Kerr Spacetime ◽  
Frame Dragging ◽  
Set Up

We study the dynamics of a charged particle in the field of a slowly rotating compact star in the gravitoelectromagnetic approximation to the geodesic equation. The star is assumed to be surrounded by an ideal, highly conducting plasma (taken as a magneto-hydrodynamic fluid) with a stationary, axially symmetric electromagnetic field. The general relativistic Maxwell equations are solved to obtain the effects of the background spacetime on the electromagnetic field in the linearized Kerr spacetime. The equations of motion are then set up and solved numerically to incorporate the gravitational as well as the electromagnetic effects. The analysis shows that in the slow rotation approximation, the frame dragging effects on the electromagnetic field are absent. However the particle is directly effected by the rotating gravitational source such that close to the star the gravitational and electromagnetic field produce contrary effects on the particle trajectories.

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