New derivation for the equations of motion for particles in electromagnetism

Details New derivation for the equations of motion for particles in electromagnetism New derivation for the equations of motion for particles in electromagnetism

2011-12-22

arxiv.org/abs/1112.5344v2

Phys. Rev. D 85, 065005 (2012)

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

11 pages, 2 figures. Minor changes. Closer to published version

Scientific paper

10.1103/PhysRevD.85.065005

We present equations of motion for charged particles using balanced equations, and without introducing explicitly divergent quantities. This derivation contains as particular cases some well known equations of motion, as the Lorentz-Dirac equations. An study of our main equations in terms of order of the interaction with the external field conduces us to the Landau-Lifshitz equations. We find that the analysis in second order show a special behavior. We give an explicit presentation up to third order of our main equations, and expressions for the calculation of general orders.

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