DYNAMICS OF CHARGED PARTICLES AND THEIR RADIATION FIELD

By L. HATIR

CONTENTS SCOPE, MOTIVATION, AND ORIENTATION PART I CLASSICAL THEORY A CHARGE COUPLED TO ITS ELECTROMAGNETIC ?ELD THE INHOMOGENEOUS MAXWELL–LORENTZ EQUATIONS NEWTON’S EQUATIONS OF MOTION COUPLED MAXWELL’S AND NEWTON’S EQUATIONS THE ABRAHAM MODEL THE RELATIVISTICALLY COVARIANT LORENTZ MODEL THE FOUR-CURRENT DENSITY RELATIVISTIC ACTION, EQUATIONS OF MOTION HISTORICAL NOTES EXTENDED CHARGE MODELS (1897–1912) NONRELATIVISTIC QUANTUM ELECTRODYNAMICS THE POINT CHARGE WHEELER–FEYNMAN ELECTRODYNAMICS THE ENERGY–MOMENTUM RELATION THE LORENTZ MODEL THE LIMIT OF ZERO BARE MASS LONG-TIME ASYMPTOTICS RADIATION DAMPING AND THE RELAXATION OF THE ACCELERATION CONVERGENCE TO THE SOLITON MANIFOLD SCATTERING THEORY ADIABATIC LIMIT SCALING LIMIT FOR EXTERNAL POTENTIALS OF SLOW VARIATION 6 1 1 APPENDIX 1: HOW SMALL IS ?? APPENDIX 2: ADIABATIC PROTECTION COMPARISON WITH THE HYDRODYNAMIC LIMIT POINT-CHARGE LIMIT, NEGATIVE BARE MASS SELF-FORCE MEMORY EQUATION TAYLOR EXPANSION HOW CAN THE ACCELERATION BE BOUNDED? COMPARISON DYNAMICS AN EXAMPLE FOR SINGULAR PERTURBATION THEORY THE CRITICAL MANIFOLD TRACKING OF THE TRUE SOLUTION ELECTROMAGNETIC ?ELDS IN THE ADIABATIC LIMIT LARMOR’S FORMULA THE LORENTZ–DIRAC EQUATION CRITICAL MANIFOLD, THE LANDAU–LIFSHITZ EQUATION SOME APPLICATIONS EXPERIMENTAL STATUS OF THE LORENTZ–DIRAC EQUATION SPINNING CHARGES EFFECTIVE SPIN DYNAMICS OF THE LORENTZ MODEL THE ABRAHAM MODEL WITH SPIN ADIABATIC LIMIT AND THE GYROMAGNETIC RATIO MANY CHARGES RETARDED INTERACTION LIMIT OF SMALL VELOCITIES THE VLASOV–MAXWELL EQUATIONS STATISTICAL MECHANICS SUMMARY AND PREAMBLE TO THE QUANTUM THEORY PART II QUANTUM THEORY QUANTIZING THE ABRAHAM MODEL LAGRANGIAN AND HAMILTONIAN REWRITING OF THE ABRAHAM MODEL THE PAULI–FIERZ HAMILTONIAN FOCK SPACE, SELF-ADJOINTNESS ENERGY AND LENGTH SCALES CONSERVATION LAWS BOUNDARY CONDITIONS AND THE CASIMIR EFFECT DIPOLE AND SINGLE-PHOTON APPROXIMATION THE STATISTICAL MECHANICS CONNECTION FUNCTIONAL INTEGRAL REPRESENTATION INTEGRATING OUT THE MAXWELL ?ELD STATES OF LOWEST ENERGY: STATICS BOUND CHARGE ENERGY–MOMENTUM RELATION, EFFECTIVE MASS APPENDIX: PROPERTIES OF E(P) TWO-FOLD DEGENERACY IN THE CASE OF SPIN STATES OF LOWEST ENERGY: DYNAMICS THE TIME-ADIABATIC THEOREM THE SPACE-ADIABATIC LIMIT MATRIX-VALUED SYMBOLS ADIABATIC DECOUPLING, EFFECTIVE HAMILTONIANS SEMICLASSICAL LIMIT SPIN PRECESSION AND THE GYROMAGNETIC RATIO RADIATION N-LEVEL SYSTEM IN THE DIPOLE APPROXIMATION THE WEAK COUPLING THEORY RESONANCES FLUORESCENCE RELAXATION AT ?NITE TEMPERATURES BOUNDED QUANTUM SYSTEMS, LIOUVILLEAN EQUILIBRIUM STATES AND THEIR PERTURBATIONS, KMS CONDITION SPECTRUM OF THE LIOUVILLEAN AND RELAXATION THE ARAKI–WOODS REPRESENTATION OF THE FREE PHOTON ?ELD ATOM IN INTERACTION WITH THE PHOTON GAS COMPLEX TRANSLATIONS COMPARISON WITH THE WEAK COUPLING THEORY BEHAVIOR AT VERY LARGE AND VERY SMALL DISTANCES INFRARED PHOTONS ENERGY RENORMALIZATION IN NELSON’S SCALAR ?ELD MODEL ULTRAVIOLET LIMIT, ENERGY AND MASS RENORMALIZATION SELF-ENERGY EFFECTIVE MASS BINDING ENERGY LAMB SHIFT AND LINE WIDTH G-FACTOR OF THE ELECTRON MANY CHARGES, STABILITY OF MATTER STABILITY OF ATOMS AND MOLECULES QUASI-STATIC LIMIT H-STABILITY REFERENCES