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Dynamics of Charged Particles and their Radiation Field


  • Date Published: June 2007
  • availability: Available
  • format: Paperback
  • isbn: 9780521037075

£ 42.99

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About the Authors
  • 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.

    • Self-contained introduction to classical electron theory and nonrelativistic quantum electrodynamics
    • Covers more recent research in mathematical physics
    • Suitable as a supplementary text for graduate courses
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    Reviews & endorsements

    '… Herbert Spohn's book … covers both the classical and quantum theories of a charged particle coupled to its own field … One of the most useful resources in Spohn's book are the historical notes and literature reviews that are inserted at the end of each chapter. … I am grateful that the author made the effort to collect this information for the benefit of his readers.' Classical and Quantum Gravity

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    Product details

    • Date Published: June 2007
    • format: Paperback
    • isbn: 9780521037075
    • length: 380 pages
    • dimensions: 245 x 169 x 23 mm
    • weight: 0.612kg
    • contains: 16 b/w illus.
    • availability: Available
  • Table of Contents

    List of symbols
    1. Scope, motivation and orientation
    Part I. Classical Theory:
    2. A charge coupled to its electromagnetic field
    3. Historical notes
    4. The energy-momentum relation
    5. Long-time asymptotics
    6. Adiabatic limit
    7. Self-force
    8. Comparison dynamics
    9. The Lorentz-Dirac equation
    10. Spinning charges
    11. Many charges
    12. Summary and preamble to the quantum theory
    Part II. Quantum Theory:
    13. Quantizing the Abraham model
    14. The statistical mechanics connection
    15. States of lowest energy: statics
    16. States of lowest energy: dynamics
    17. Radiation
    18. Relaxation at finite temperatures
    19. Behaviour at very large and very small distances
    20. Many charges, stability of matter

  • Author

    Herbert Spohn, Technische Universität München

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