This book provides a self-contained and systematic introduction to classical electron theory and its quantization, nonrelativistic 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 nonrelativistic quantum electrodynamics. Topics discussed include nonperturbative properties of the basic Hamiltonian, the structure of resonances, the relaxation to the ground state through emission of photons, the nonperturbative derivation of the g-factor of the electron, and the stability of matter.
'... 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
"The authors has taken a fascinating area of physics, whose mathematical basis has in the past been unjustly neglected, and given us a coherent and thorough presentation of it. I recommend that applied mathematicians look into this book and hope that at least a few get sufficiently hooked by the subject that they are motivated to work on it themselves."
Alan Rendall, SIAM Review