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

Format:

Book

Author/Creator:

Yaghjian, Arthur D., Author.

Series:

Lecture Notes in Physics, 1616-6361 ; 686

Language:

English

Subjects (All):

Electrodynamics.

Mathematical physics.

Mechanics.

Gravitation.

Classical Electrodynamics.

Theoretical, Mathematical and Computational Physics.

Classical Mechanics.

Classical and Quantum Gravity.

Local Subjects:

Classical Electrodynamics.

Theoretical, Mathematical and Computational Physics.

Classical Mechanics.

Classical and Quantum Gravity.

Physical Description:

1 online resource (XV, 152 p.)

Edition:

2nd ed. 2006.

Place of Publication:

New York, NY : Springer New York : Imprint: Springer, 2006.

Language Note:

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

ISBN:

9780387315126

0387315128

OCLC:

1024281033