Relativistic Dynamics of a Charged Sphere: Updating the Lorentz-Abraham Modelby Arthur D. Yaghjian
Pub. Date: 09/10/1992
Publisher: Springer-Verlag New York, LLC
This book takes a fresh, systematic approach to determining the equation of motion for the classical model of the electron introduced by Lorentz more than 100 years ago. The original/p>
"This is a remarkable book. [... ] A fresh and novel approach to old problems and to their solution." Fritz Rohrlich, Professor Emeritus of Physics, Syracuse University
This book takes a fresh, systematic approach to determining the equation of motion for the classical model of the electron introduced by Lorentz more than 100 years ago. The original derivations of Lorentz, Abraham, PoincarÃ© and Schott are modified and generalized for the charged insulator model of the electron to obtain an equation of motion consistent with causal solutions to the Maxwell-Lorentz equations and the equations of special relativity. The solutions to the resulting equation of motion are free of pre-acceleration and runaway behavior. Binding forces and a total stressmomentumenergy tensor are derived for the charged insulator model. Appendices provide simplified derivations of the self-force and power at arbitrary velocity.
In this Second Edition, the method used for eliminating the noncausal pre-acceleration from the equation of motion has been generalized to eliminate pre-deceleration as well. The generalized method is applied to obtain the causal solution to the equation of motion of a charge accelerating in a uniform electric field for a finite time interval. Alternative derivations of the Landau-Lifshitz approximation are given as well as necessary and sufficient conditions for the Landau-Lifshitz approximation to be an accurate solution to the exact Lorentz-Abraham-Dirac equation of motion.
The book is a valuable resource for students and researchers in physics, engineering, and the history of science.
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