Relativistic dynamics of a charged sphere : updating the Lorentz-Abraham model / / Arthur D. Yaghjian

• Autore: Yaghjian Arthur D.
• Pubblicazione: Cham, Switzerland : , : Springer, , [2022]; ©2022
• Edizione: 3rd ed.
• Descrizione fisica: 1 online resource (211 pages)
• Disciplina: 530.141
• Soggetto topico: Lorentz transformations; Relativistic fluid dynamics; Electromagnetic theory
• Nota di bibliografia: Includes bibliographical references and index.
• Nota di contenuto: Intro -- Foreword -- Preface to the Third Edition -- Preface to the Second Edition -- Preface to the First Edition -- Contents -- 1 Introduction and Summary of Results -- 2 Lorentz-Abraham Force and Power Equations -- 2.1 Force Equation of Motion -- 2.2 Power Equation of Motion -- 3 Derivation of Force and Power Equations -- 3.1 General Equations of Motion from Proper-Frame Equations -- 4 Internal Binding Forces -- 4.1 Poincaré Binding Forces -- 4.2 Binding Forces at Arbitrary Velocity -- 4.2.1 Electric Polarization Producing the Binding Forces -- 5 Electromagnetic, Electrostatic, Bare, Measured,and Insulator Masses -- 5.1 Bare Mass in Terms of Electromagnetic and Electrostatic Masses -- 5.1.1 Extra Momentum-Energy in Newton's Second Law of Motion for Charged Particles -- 5.1.2 Reason for Lorentz Setting the Bare Mass Zero -- 6 Transformation and Redefinition of Force-Power and Momentum-Energy -- 6.1 Transformation of Electromagnetic, Binding, and Bare-Mass Force-Power and Momentum-Energy -- 6.1.1 Total Stress-Momentum-Energy Tensor for the Charged Insulator -- 6.2 Redefinition of Electromagnetic Momentum and Energy -- 7 Momentum and Energy Relations -- 7.1 Hyperbolic Motion -- 7.2 Runaway Motion -- 8 Solutions to the Equation of Motion -- 8.1 Solution to the Equation of Rectilinear Motion -- 8.2 Formal Solution to the General Equation of Motion -- 8.3 Cause and Elimination of the Pre-acceleration -- 8.3.1 Cause of the Pre-acceleration -- 8.3.2 Elimination of the Pre-acceleration -- 8.3.3 Determination of the Transition Force for Rectilinear Motion -- 8.3.4 Motion of Charge in a Uniform Electric Field for a Finite Time -- 8.3.5 Conservation of Momentum-Energy in the Causal Equation of Motion -- 8.3.6 Causal Solution to the Parallel-Plate Capacitor -- 8.4 Power Series Solutions to the Equation of Motion. ; 8.4.1 Power Series Solution to Rectilinear Equation of Motion -- 8.4.2 Power Series and Landau-Lifshitz Solution to General Equation of Motion -- 8.5 Charge Moving in a Uniform Magnetic Field -- 8.6 Electron in a Counterpropagating Laser Beam -- 8.6.1 Linearly Polarized Plane Wave -- Solution for γ(1+uz/c) -- Solution for γux/c -- Solution for the Relativistic Factor γ, the Longitudinal Velocity uz/c, and the Transverse Velocity ux/c -- Determination of the Time t in Terms of ξ -- Uniform Plane Wave -- Sinusoidal Envelope -- 8.6.2 Circularly Polarized Plane Wave -- Solution for γ(1+uz/c): Circular Polarization -- Solution for γux/c and γuy/c: Circular Polarization -- Solution for the Relativistic Factor γ, the Longitudinal Velocity uz/c, and the Transverse Velocities ux/c and uy/c: Circular Polarization -- Uniform Plane Wave: Circular Polarization -- Sinusoidal Envelope: Circular Polarization -- 8.6.3 Conditions for the Accuracy of the LL Approximate Solution to the LAD Equation of Motion -- 8.6.4 The Lorentz-Force Equation of Motion -- 8.6.5 Quantum Effects -- Quantum-Vacuum Electron-Positron Pair Production -- Compton Scattering -- Electron Quantum Recoil from Photon Emission -- 8.6.6 Regions of Validity of the Different Solutions -- 8.6.7 Brief Summary of the LL Solution to the Electron in a Laser Beam -- 8.7 The Finite Difference Equation of Motion -- 8.8 Renormalization of the Equation of Motion -- A Derivation and Transformation of Small-Velocity Force and Power -- A.1 Derivation of the Small-Velocity Force and Power -- A.1.1 Derivation of the Proper-Frame Force -- A.1.2 Derivation of the Small-Velocity Power -- A.2 Relativistic Transformation of the Small-Velocity Forceand Power -- A.2.1 Relativistic Transformation of the Proper-Frame Force -- A.2.2 Relativistic Transformation of the Small-Velocity Power. ; A.3 Noncovariance of the Power Equation -- B Derivation of Force and Power at Arbitrary Velocity -- B.1 The 1/a Terms of Self Electromagnetic Force and Power -- B.1.1 Evaluation of 1/a Term of Self Electromagnetic Force -- B.1.2 Evaluation of 1/a Term of Self Electromagnetic Power -- B.2 Radiation Reaction of Self Electromagnetic Force and Power -- B.2.1 Evaluation of the Radiation Reaction Force -- B.2.2 Evaluation of the Radiation Reaction Power -- -- C Electric and Magnetic Fields in a Spherical Shell of Charge -- D Derivation of the Linear Terms for the Self Electromagnetic Force -- References -- Index.
• Titolo autorizzato: Relativistic Dynamics of a Charged Sphere
• ISBN: 9783031060670; 9783031060663
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910616391403321
• Lo trovi qui: Univ. Federico II