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Relativistic dynamics of a charged s...

Yaghjian, Arthur D.

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Relativistic dynamics of a charged sphere = updating the Lorentz-Abraham model /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Relativistic dynamics of a charged sphere/ by 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.
[NT 15003449]:	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.
Contained By:	Springer Nature eBook
Subject:	Electromagnetic theory. -
Online resource:	https://doi.org/10.1007/978-3-031-06067-0
ISBN:	9783031060670

Relativistic dynamics of a charged sphere = updating 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

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

526478
Electromagnetic theory.

LC Class. No.: QC670

Dewey Class. No.: 530.141

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100 1 $a Yaghjian, Arthur D. $3 2109675
245 1 0 $a Relativistic dynamics of a charged sphere $h [electronic resource] : $b updating the Lorentz-Abraham model / $c by Arthur D. Yaghjian.
250 $a Third edition.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2022.
300 $a xi, 17 p. : $b ill., digital ; $c 24 cm.
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 526478
650 0 $a Lorentz transformations. $3 752501
650 0 $a Relativistic fluid dynamics. $3 2086786
650 0 $a Equations of motion. $3 940444
650 0 $a Particles, Relativistic. $3 3606541
650 1 4 $a Classical Electrodynamics. $3 3135223
650 2 4 $a Mathematical Physics. $3 1542352
650 2 4 $a Special Relativity. $3 3596605
650 2 4 $a Accelerator Physics. $3 3596594
650 2 4 $a Differential Equations. $3 907890
650 2 4 $a Classical Mechanics. $3 3216970
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer Nature eBook
856 4 0 $u https://doi.org/10.1007/978-3-031-06067-0
950 $a Physics and Astronomy (SpringerNature-11651)