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

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.

Electrodynamics in Fock–Lorentz linear fractional relativity

2020 ◽  
Vol 35 (18) ◽  
pp. 2050091
Author(s):  
A. Berrabah ◽  
T. Foughali ◽  
A. Bouda
Keyword(s):  
Electromagnetic Field ◽  
Charged Particle ◽  
Phase Space ◽  
Free Particle ◽  
External Electromagnetic Field ◽  
First Order ◽  
Analysis Scheme ◽  
New Formulation ◽  
Dirac Hamiltonian ◽  
Hamiltonian Analysis

In this paper, we have explored the effect of Fock–Lorentz linear fractional relativity on the electrodynamics laws, where the radius of universe [Formula: see text] emerges as a consequence in the new formulation of Fock’s transformation. By employing the Dirac Hamiltonian analysis scheme, we have studied the case of the free particle, as well as the charged particle in presence of an external electromagnetic field in the new deformed phase space “[Formula: see text]-Minkowski.” The Lorentz force is obtained up to the first-order [Formula: see text]. Furthermore, we have discussed the modified form of Leinard–Wiechart potentials.

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