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Relativistic dynamics of a charged sphereupdating the Lorentz-Abraham model /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Relativistic dynamics of a charged sphereby Arthur D. Yaghjian.
Reminder of title:	updating the Lorentz-Abraham model /
Author:	Yaghjian, Arthur D.
Published:	Cham :Springer International Publishing :2022.
Description:	xi, 17 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Electromagnetic theory.
Online resource:	https://doi.org/10.1007/978-3-031-06067-0
ISBN:	9783031060670$q(electronic bk.)

Relativistic dynamics of a charged sphereupdating the Lorentz-Abraham model /
Yaghjian, Arthur D.

Relativistic dynamics of a charged sphereupdating the Lorentz-Abraham model /[electronic resource] :by Arthur D. Yaghjian. - Third edition. - Cham :Springer International Publishing :2022. - xi, 17 p. :ill., digital ;24 cm.

Chapter 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.

This 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.

ISBN: 9783031060670$q(electronic bk.)

Standard No.: 10.1007/978-3-031-06067-0doiSubjects--Topical Terms:

184530
Electromagnetic theory.

LC Class. No.: QC670

Dewey Class. No.: 530.141

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245 1 0 $a Relativistic dynamics of a charged sphere $h [electronic resource] : $b updating the Lorentz-Abraham model / $c by Arthur D. Yaghjian.
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505 0 $a Chapter 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.
520 $a This 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.
650 0 $a Electromagnetic theory. $3 184530
650 0 $a Lorentz transformations. $3 278253
650 0 $a Relativistic fluid dynamics. $3 278254
650 0 $a Equations of motion. $3 393367
650 0 $a Particles, Relativistic. $3 936184
650 1 4 $a Classical Electrodynamics. $3 760155
650 2 4 $a Mathematical Physics. $3 522725
650 2 4 $a Special Relativity. $3 922585
650 2 4 $a Accelerator Physics. $3 925463
650 2 4 $a Differential Equations. $3 285983
650 2 4 $a Classical Mechanics. $3 769955
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856 4 0 $u https://doi.org/10.1007/978-3-031-06067-0
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