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Publisher:
Cambridge University Press
Online publication date:
July 2023
Print publication year:
2023
Online ISBN:
9781009402286
Creative Commons:
Creative Common License - CC Creative Common License - BY Creative Common License - NC Creative Common License - ND
This content is Open Access and distributed under the terms of the Creative Commons Attribution licence CC-BY-NC-ND 4.0 https://creativecommons.org/creativelicenses

Book description

This book provides a self-contained and systematic introduction to classical electron theory and its quantization, non-relativistic quantum electrodynamics. The first half of the book covers the classical theory. It discusses the well-defined Abraham model of extended charges in interaction with the electromagnetic field, and gives a study of the effective dynamics of charges under the condition that, on the scale given by the size of the charge distribution, they are far apart and the applied potentials vary slowly. The second half covers the quantum theory, leading to a coherent presentation of non-relativistic quantum electrodynamics. Topics discussed include non-perturbative properties of the basic Hamiltonian, the structure of resonances, the relaxation to the ground state through emission of photons, the non-perturbative derivation of the g-factor of the electron and the stability of matter. First released in 2004, this title has been reissued as an Open Access publication on Cambridge Core.

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Contents

Full book PDF
  • Frontmatter
    pp i-iv
  • Dedication
    pp v-vi
  • Contents
    pp vii-x
  • Preface
    pp xi-xii
  • List of symbols
    pp xiii-xvi
  • 1 - Scope, motivation, and orientation
    pp 1-4
  • Part I - Classical theory
    pp 5-6
  • 2 - A charge coupled to its electromagnetic field
    pp 7-32
  • 3 - Historical notes
    pp 33-43
  • 4 - The energy-momentum relation
    pp 44-53
  • 5 - Long-time asymptotics
    pp 54-64
  • 6 - Adiabatic limit
    pp 65-79
  • 7 - Self-force
    pp 80-90
  • 8 - Comparison dynamics
    pp 91-105
  • 9 - The Lorentz-Dirac equation
    pp 106-118
  • 10 - Spinning charges
    pp 119-129
  • 11 - Many charges
    pp 130-144
  • 12 - Summary and preamble to the quantum theory
    pp 145-146
  • Part II - Quantum theory
    pp 147-148
  • 13 - Quantizing the Abraham model
    pp 149-176
  • 14 - The statistical mechanics connection
    pp 177-199
  • 15 - States of lowest energy: statics
    pp 200-219
  • 16 - States of lowest energy: dynamics
    pp 220-246
  • 17 - Radiation
    pp 247-278
  • 18 - Relaxation at finite temperatures
    pp 279-299
  • 19 - Behavior at very large and very small distances
    pp 300-325
  • 20 - Many charges, stability of matter
    pp 326-338
  • References
    pp 339-357
  • Index
    pp 358-360

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