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020 _a9780387315126
_9978-0-387-31512-6
024 7 _a10.1007/b98846
_2doi
050 4 _aQC350-467
050 4 _aQC630-648
072 7 _aPHJ
_2bicssc
072 7 _aSCI021000
_2bisacsh
072 7 _aPHJ
_2thema
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082 0 4 _a535.2
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082 0 4 _a537.6
_223
100 1 _aYaghjian, Arthur D.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 1 0 _aRelativistic Dynamics of a Charged Sphere
_h[electronic resource] :
_bUpdating the Lorentz-Abraham Model /
_cby Arthur D. Yaghjian.
264 1 _aNew York, NY :
_bSpringer New York,
_c2006.
300 _aXV, 152 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aLecture Notes in Physics,
_x0075-8450 ;
_v686
505 0 _aForeword -- 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.
520 _a"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.
650 0 _aMechanics.
650 1 4 _aClassical Electrodynamics.
_0http://scigraph.springernature.com/things/product-market-codes/P21070
650 2 4 _aTheoretical, Mathematical and Computational Physics.
_0http://scigraph.springernature.com/things/product-market-codes/P19005
650 2 4 _aClassical Mechanics.
_0http://scigraph.springernature.com/things/product-market-codes/P21018
650 2 4 _aClassical and Quantum Gravitation, Relativity Theory.
_0http://scigraph.springernature.com/things/product-market-codes/P19070
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9781441920768
776 0 8 _iPrinted edition:
_z9780387507453
776 0 8 _iPrinted edition:
_z9780387260211
830 0 _aLecture Notes in Physics,
_x0075-8450 ;
_v686
856 4 0 _uhttps://doi.org/10.1007/b98846
912 _aZDB-2-PHA
912 _aZDB-2-LNP
999 _c12207
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