LEADER 04595nam 22007455 450 001 9910616391403321 005 20251202162110.0 010 $a9783031060670$b(electronic bk.) 010 $z9783031060663 024 7 $a10.1007/978-3-031-06067-0 035 $a(MiAaPQ)EBC7102391 035 $a(Au-PeEL)EBL7102391 035 $a(CKB)24950538900041 035 $a(PPN)264960017 035 $a(BIP)85863249 035 $a(BIP)83922365 035 $a(DE-He213)978-3-031-06067-0 035 $a(EXLCZ)9924950538900041 100 $a20220929d2022 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aRelativistic Dynamics of a Charged Sphere $eUpdating the Lorentz-Abraham Model /$fby Arthur D. Yaghjian 205 $a3rd ed. 2022. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2022. 215 $a1 online resource (211 pages) 311 08$aPrint version: Yaghjian, Arthur D. Relativistic Dynamics of a Charged Sphere Cham : Springer International Publishing AG,c2022 9783031060663 320 $aIncludes bibliographical references and index. 327 $aChapter 1. Introduction and Summary of Results -- Chapter 2. Lorentz-Abraham Force and Power Equations -- Chapter 3. Derivation of Force and Power Equations -- Chapter 4. Internal Binding Forces -- Chapter 5. Electromagnetic, Electrostatic, Bare, Measured, and Insulator Masses -- Chapter 6. Transformation and Redefinition of Force-Power and Momentum-Energy -- Chapter 7. Momentum and Energy Relations -- Chapter 8. Solutions to the Equation of Motion. 330 $aThis book takes a fresh, systematic approach to determining the equation of motion for the classical model of the electron introduced by Lorentz 130 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 pre-deceleration. 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. 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 third edition, some of the history has been made more accurate and some of the derivations have been simplified and clarified. A detailed three-vector exact solution to the Landau-Lifshitz approximate equation of motion is given for the problem of an electron traveling in a counterpropagating plane-wave laser-beam pulse. Semi-classical analyses are used to derive the conditions that determine the significance of quantum effects not included in the classical equation of motion. The book is a valuable resource for students and researchers in physics, engineering, and the history of science. 606 $aElectrodynamics 606 $aMathematical physics 606 $aSpecial relativity (Physics) 606 $aParticle accelerators 606 $aDifferential equations 606 $aMechanics 606 $aClassical Electrodynamics 606 $aMathematical Physics 606 $aSpecial Relativity 606 $aAccelerator Physics 606 $aDifferential Equations 606 $aClassical Mechanics 615 0$aElectrodynamics. 615 0$aMathematical physics. 615 0$aSpecial relativity (Physics) 615 0$aParticle accelerators. 615 0$aDifferential equations. 615 0$aMechanics. 615 14$aClassical Electrodynamics. 615 24$aMathematical Physics. 615 24$aSpecial Relativity. 615 24$aAccelerator Physics. 615 24$aDifferential Equations. 615 24$aClassical Mechanics. 676 $a530.141 676 $a530.141 700 $aYaghjian$b Arthur D.$028226 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 912 $a9910616391403321 996 $aRelativistic Dynamics of a Charged Sphere$9337121 997 $aUNINA