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Relativistic Dynamics of a Charged Sphere [electronic resource] : Updating the Lorentz-Abraham Model / by Arthur Yaghjian.

Author/Creator:
Yaghjian, Arthur. author., Author,
Publication:
New York, NY : Springer New York : Imprint: Springer, 2006.
Format/Description:
Book
1 online resource (XV, 152 p.)
Edition:
2nd ed. 2006.
Series:
Lecture Notes in Physics, 0075-8450 ; 686
Lecture Notes in Physics, 0075-8450 ; 686
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Subjects:
Optics.
Electrodynamics.
Mathematical physics.
Mechanics.
Gravitation.
Local subjects:
Classical Electrodynamics. (search)
Theoretical, Mathematical and Computational Physics. (search)
Classical Mechanics. (search)
Classical and Quantum Gravitation, Relativity Theory. (search)
Form/Genre:
Electronic books.
Language:
English
Summary:
"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, Poincaré 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 stress–momentum–energy 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.
Contents:
Foreword
Preface To The First Edition
Preface To The Second Edition
Introduction and Summary of Results
Lorentz-Abraham Force And Power Equations
Derivation of Force And Power Equations
Internal Binding Forces
Electromagnetic, Electrostatic, Bare, Measured, and Insulator Masses
Transformation and Redefinition of Forcepower and Momentum-Energy
Momentum and Energy Relations
Solutions to The Equation of Motion
Derivation and Transformation of Smallvelocity Force and Power
Derivation of Force and Power at Arbitrary Velocity
Electric and Magnetic Fields in a Spherical Shell of Charge
Derivation of The Linear Terms for the Self Electromagnetic Force
References.
Notes:
Bibliographic Level Mode of Issuance: Monograph
Description based on publisher supplied metadata and other sources.
ISBN:
0-387-31512-8
OCLC:
1024281033
Publisher Number:
10.1007/b98846 doi