Comments on initial conditions for the Abraham-Lorentz(-Dirac) equation
arXiv:1410.5871 · doi:10.1142/S0217751X15500116
Abstract
An accelerating electric charge coupled to its own electromagnetic (EM) field both emits radiation and experiences the radiation's reaction as a (self-)force. Considering the system from an Effective Field Theory perspective, and using the physical initial conditions of no incoming radiation can help resolve many of the problems associated with the often considered "notorious" Abraham-Lorentz / Abraham-Lorentz-Dirac equations.
5 pages, 2 figures
References in corpus (21)
- An Effective Field Theory of Gravity for Extended Objects
- Self-force via a Green's function decomposition
- The classical mechanics of non-conservative systems
- The critical manifold of the Lorentz-Dirac equation
- A Rigorous Derivation of Electromagnetic Self-force
- Stochastic Theory of Relativistic Particles Moving in a Quantum Field: II. Scalar Abraham-Lorentz-Dirac-Langevin Equation, Radiation Reaction and Vacuum Fluctuations
- Emission and its back-reaction accompanying electron motion in relativistically strong and QED-strong pulsed laser fields
- Radiation reaction and gravitational waves in the effective field theory approach
- Dynamics of Emitting Electrons in Strong Electromagnetic Fields
- Effects of Radiation-Reaction in Relativistic Laser Acceleration
- Renormalization in Lorentz-Abraham-Dirac Equation, Describing Radiation Force in Classical Electrodynamics (in Russian)
- Uniformly Accelerated Charge in a Quantum Field: From Radiation Reaction to Unruh Effect
- Radiation reaction of a classical quasi-rigid extended particle
- Self-Force with a Stochastic Component from Radiation Reaction of a Scalar Charge Moving in Curved Spacetime
- Theory of post-Newtonian radiation and reaction
- An action for reaction in general dimension
- Preacceleration without radiation: the non-existence of preradiation phenomenon
- Radiation reaction at the level of the action
- On the motion of a classical charged particle
- Comment on "Preacceleration without radiation: The nonexistence of preradiation phenomenon," by J.A. Heras [Am. J. Phys. 74, 1025 (2006)]
- Reply to "Comment(s) on `Preacceleration without radiation: The non-existence of preradiation phenomenon," by J. D. Jackson [Am. J. Phys. 75, 844-845 (2007)] and V. Hnizdo [Am. J. Phys. 75, 845-846 (2007)