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1 Yaghjian, Arthur Relativistic Dynamics of a Charged Sphere I06749 2006 eBook  
2 Yaghjian, Arthur Relativistic Dynamics of a Charged Sphere I02108 1992 eBook  
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TitleRelativistic Dynamics of a Charged Sphere : Updating the Lorentz-Abraham Model
Author(s)Yaghjian, Arthur
PublicationNew York, NY, Springer New York, 2006.
DescriptionXV, 152 p : online resource
Abstract Note"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, Poincar?? 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
ISBN,Price9780387315126
Keyword(s)1. Classical and Quantum Gravitation, Relativity Theory 2. CLASSICAL ELECTRODYNAMICS 3. CLASSICAL MECHANICS 4. EBOOK 5. EBOOK - SPRINGER 6. ELECTRODYNAMICS 7. GRAVITATION 8. MATHEMATICAL PHYSICS 9. MECHANICS 10. OPTICS 11. Theoretical, Mathematical and Computational Physics
Item TypeeBook
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Accession#  Call#StatusIssued ToReturn Due On Physical Location
I06749     On Shelf    

2.    
No image available
TitleRelativistic Dynamics of a Charged Sphere : Updating the Lorentz-Abraham Model
Author(s)Yaghjian, Arthur
PublicationNew York, NY, Springer New York, 1992.
DescriptionXII, 115 p : online resource
Abstract NoteThis is a remarkable book. Arthur Yaghjian is by training and profession an electrical engineer; but he has a deep interest in fundamental questions usually reserved for physicists. Working largely in isolation he has studied the relevant papers of an enormous literature accumulated over a century. The result is a fresh and novel approach to old problems and to their solution. Physicists since Lorentz have looked at the problem of the equations of motion of a charged object primarily as a problem for the description of a fundamental particle, typically an electron. Yaghjian considers a mac- scopic object, a spherical insulator with a surface charge. was therefore not tempted to take the point limit, and he thus avoided the pitfalls that have misguided research in this field since Dirac's famous paper of 1938. Perhaps the author's greatest achievement was the discovery that one does not need to invoke quantum mechanics and the correspondence pr- ciple in order to exclude the unphysical solutions (runaway and pre-acc- eration solutions). Rather, as he discovered, the derivation of the classical equations of motion from the Maxwell-Lorentz equations is invalid when the time rate of change of the dynamical variables too large (even in the relativistic case). Therefore, solutions that show such behavior are inc- sistent consequences. The classical theory thus shown to be physically consistent by itself. It embarrassing--to say the least--that this obs- vation had not been made before
ISBN,Price9780387739670
Keyword(s)1. Classical and Quantum Gravitation, Relativity Theory 2. CLASSICAL ELECTRODYNAMICS 3. EBOOK 4. EBOOK - SPRINGER 5. ELECTRODYNAMICS 6. GRAVITATION 7. MATHEMATICS 8. Mathematics, general 9. OPTICS
Item TypeeBook
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Circulation Data
Accession#  Call#StatusIssued ToReturn Due On Physical Location
I02108     On Shelf    

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