On the uniform motion of a relativistic charged particle in a homogeneous electromagnetic field in Minkowski space

2019 ◽  
Vol 42 (9) ◽  
pp. 3069-3087 ◽  
Author(s):  
Talat Körpinar ◽  
Rıdvan Cem Demirkol
Keyword(s):  
Electromagnetic Field ◽  
Charged Particle ◽  
Minkowski Space ◽  
Uniform Motion ◽  
Relativistic Charged Particle ◽  
Homogeneous Electromagnetic Field

RELATIVISTIC PARTICLE WITH TORSION AND CHARGED PARTICLE IN A CONSTANT ELECTROMAGNETIC FIELD: IDENTITY OF EVOLUTION

1995 ◽  
Vol 10 (20) ◽  
pp. 1463-1469 ◽  
Author(s):  
MIKHAIL S. PLYUSHCHAY
Keyword(s):  
Electromagnetic Field ◽  
Charged Particle ◽  
Relativistic Particle ◽  
The Other ◽  
Classical Motion ◽  
Constant Electromagnetic Field ◽  
Effective System ◽  
Relativistic Charged Particle ◽  
Higher Derivatives ◽  
Chern Simons

The identity of classical motion is established for two physically different models, one of which is the relativistic particle with torsion, whose action contains higher derivatives and which is the effective system for the statistically charged particle interacting with the Chern-Simons U(1) gauge field, and the other is the (2+1)-dimensional relativistic charged particle in external constant electromagnetic field.

scholarly journals Peculiarities of electromagnetic field oscillations of a charged particle rotating about a conductive ball

2018 ◽  
pp. 1-6
Author(s):  
A.H. Mkrtchyan ◽  
L.Sh. Grigoryan ◽  
H.F. Khachatryan ◽  
M.L. Grigoryan ◽  
A.V. Sargsyan
Keyword(s):  
Electromagnetic Field ◽  
Charged Particle ◽  
Rotation Frequency ◽  
High Amplitude ◽  
Analytic Solutions ◽  
Particle Rotation ◽  
Exact Analytic Solutions ◽  
Relativistic Charged Particle ◽  
Characteristic Features ◽  
Intense Radiation

Abstract. The paper investigates some characteristic features of the electromagnetic field of a relativistic charged particle that uniformly rotates about a conductive ball in its equatorial plane. It is assumed that the braking of the particle due to radiation is compensated by an external influence (e.g. the electric force) that compels the particle to turn uniformly in a circle. The magnetic permittivity of the ball is assumed to be one. The work is based on the corresponding exact analytic solutions of Maxwell’s equations. The generalized Drude-Lorentz-Sommerfeld formula for the dielectric function of the conductive ball is used in numerical calculations. It is shown that localized oscillations of a high-amplitude electromagnetic field can be generated at a given harmonic inside the ball at a certain (resonant) particle rotation frequency at a small distance from the surface of the ball. Herewith, at large distances from the trajectory of the particle, these localized oscillations are accompanied by intense radiation at the same harmonic, which is many times more intense than the analogous radiation in the case when the ball is absent. The possibilities of using this phenomenon to develop sources of quasi-monochromatic electromagnetic radiation in the range from giga- to terra hertz frequencies are discussed.

MULTISYMPLECTIC GEOMETRY AND k-COSYMPLECTIC STRUCTURE FOR THE FIELD THEORIES AND THE RELATIVISTIC MECHANICS

2013 ◽  
Vol 10 (04) ◽  
pp. 1350001
Author(s):  
H. LOUMI-FERGANE ◽  
A. BELAIDI
Keyword(s):  
Electromagnetic Field ◽  
Charged Particle ◽  
Physical System ◽  
Direct Relationship ◽  
Field Theories ◽  
Cosymplectic Structure ◽  
Relativistic Charged Particle

The aim of this work is twofold: First, we extend the multisymplectic geometry already done for field theories to the relativistic mechanics by introducing an appropriate configuration bundle. In particular, we developed the model to obtain the Hamilton–De Donder–Weyl equations to the movement of a relativistic charged particle immerged in an electromagnetic field. Second, we have found a direct relationship between the multisymplectic geometry and the k-cosymplectic structure of a physical system.

scholarly journals Orbital angular momentum of Liénard–Wiechert fields

2019 ◽  
Vol 2019 (8) ◽  
Author(s):  
H Kawaguchi ◽  
M Katoh
Keyword(s):  
Electromagnetic Field ◽  
Angular Momentum ◽  
Charged Particle ◽  
Periodic Orbit ◽  
Radiation Field ◽  
General Expression ◽  
Orbital Angular Momentum ◽  
Particle Motion ◽  
Charged Particles ◽  
Relativistic Charged Particle

Abstract We derive a general expression for the electromagnetic field radiated by a relativistic charged particle with arbitrary periodic orbit, in the form of multi-pole expansion of the Liénard–Wiechert potential, which explicitly includes the charged particle motion. Using this expression, we discuss the orbital angular momentum radiated from a relativistic charged particle. It has recently been indicated that the radiation emitted by circularly orbiting charged particles carries well-defined orbital angular momentum. We show that, even for the general cases of arbitrary periodic orbits, the radiation field possesses well-defined orbital angular momentum.

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