1960: Classical Radiation from a Uniformly Accelerated Charge. Annals of Physics 9, 499-517. With Thomas Fulton.
This old problem goes back at least to W. Pauli’s encyclopedia article on the theory of relativity of 1921 in German (translated 1958 by Pergamon Press). It was treated by many authors and often incorrectly (also by Pauli).
1961: The Equations of Motion of Classical Charges. Annals of Physics 13, 93-109.
A solution of the problems of unphysical solutions in the Lorentz-Abraham-Dirac equation is proposed.
1961: The Definition of Electromagnetic Radiation. Nuovo Cimento 21, 811-822.
It is proven that the non-local measurement of a single invariant, the radiation energy rate, is necessary and sufficient to ensure the existence of radiation. This can be done at any distance from the radiating charge.
1964: Solution of the Classical Electromagnetic Self-Energy Problem. Physical Review Letters 12, C511, pp.1-3.
An action integral is given which involves two electromagnetic fields, F+ and?F instead of the conventional fields Fin and F, each written in terms of their time covariant vector potentials. Lorentz and time reversal invariance then ensure the resulting equations of motion to be the already mass renormalized Lorentz-Abraham-Dirac equations, and the resulting field equations to be the Maxwell equations. The Coulomb self-energy term does not occur explicitly. – However, the time reversal invariance is purely formal since advanced fields do not exist in nature.
1973: The Electron: Development of the First Elementary Particle Theory. “The Physicist’s Conception of Nature”, J. Mehra (ed.) D. Reidel Publishing Co., Dordrecht-Holland.
This 1972 lecture at a symposium in honor of Dirac’s 70th birthday reviews the mathematical descriptions of the classical electron and its problems over time.
1999: Classical self-force. Physical Review D 60, 084017.
A model of a relativistic finite size charge yields a differential-difference equation for the equation of motion.
2001: The correct equation of a classical point charge. Physics Letters A, 276-278.
2002: Dynamics of a classical quasi-point charge. Physics Letters A 307-310.
These two papers show why the Landau-Lifshitz equation is the correct equation of motion for a classical point charge based on the work by H. Spohn in 2000.
2005: Time reversal invariance and the arrow of time in classical electrodynamics. Physical Review E 72, 057601.
The proof that retarded radiation is time reversal invariant implies this invariance also for the equations of motion. Advanced fields do not exist physically. Radiation phenomena are overall dissipative explaining the electromagnetic "arrow of time".
2006: Time in classical electrodynamics. American Journal of Physics 74, 313-315 (April).
A tutorial paper of the above publication, non-mathematical and conceptual.
2008: Dynamics of a Charged Particle. Physical Review E 77, 046609.
There are over a dozen other publications on classical charged particles.