scholarly journals On the Equation of Motion for a Fast Moving Small Object in the Strong Field Point Particle Limit

2006 ◽  
Vol 116 (2) ◽  
pp. 423-428 ◽  
Author(s):  
Takashi Fukumoto ◽  
Toshifumi Futamase ◽  
Yousuke Itoh
Keyword(s):  
Fast Moving ◽  
Strong Field ◽  
Equation Of Motion ◽  
Point Particle ◽  
Small Object ◽  
Field Point

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.

scholarly journals Particle Acceleration by an Electromagnetic Wave

2013 ◽  
Vol 2013 ◽  
pp. 1-5
Author(s):  
Heinz Dehnen
Keyword(s):  
Relativistic Equation ◽  
Cosmic Ray ◽  
Equation Of Motion ◽  
Point Particle ◽  
Electromagnetic Plane Wave ◽  
Massive Point ◽  
Accelerated Protons ◽  
Relativistic Equation Of Motion ◽  
Electrically Charged ◽  
Electromagnetic Plane

The relativistic equation of motion for an electrically charged massive point particle is integrated exactly for the case of a circularly polarized electromagnetic plane wave. The acceleration of the particle by the wave is calculated in detail, however, under neglection of the radiation damping. In spite of this simplification, the results are applied to a typical pulsar, where the maximum kinetic energy of accelerated protons reaches values of the order of the fastest cosmic ray particles.

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