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Dynamics of Charged Particles and their Radiation Field
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  • Cited by 139
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    Harte, Abraham I. Taylor, Peter and Flanagan, Éanna É. 2018. Foundations of the self-force problem in arbitrary dimensions. Physical Review D, Vol. 97, Issue. 12,

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    Niel, F Riconda, C Amiranoff, F Lobet, M Derouillat, J Pérez, F Vinci, T and Grech, M 2018. From quantum to classical modeling of radiation reaction: a focus on the radiation spectrum. Plasma Physics and Controlled Fusion, Vol. 60, Issue. 9, p. 094002.

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    Costin, Ovidiu Costin, Rodica D. and Lebowitz, Joel L. 2018. Ionization by an Oscillating Field: Resonances and Photons. Journal of Statistical Physics,

    Lazarovici, Dustin 2018. Against fields. European Journal for Philosophy of Science, Vol. 8, Issue. 2, p. 145.

    Jäkel, Christian D. and Wreszinski, Walter F. 2018. Stability of relativistic quantum electrodynamics in the Coulomb gauge. Journal of Mathematical Physics, Vol. 59, Issue. 3, p. 032303.

    Schäfer, Christian Ruggenthaler, Michael and Rubio, Angel 2018. Ab initio nonrelativistic quantum electrodynamics: Bridging quantum chemistry and quantum optics from weak to strong coupling. Physical Review A, Vol. 98, Issue. 4,

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    Torromé, Ricardo Gallego 2017. A second-order differential equation for a point charged particle. International Journal of Geometric Methods in Modern Physics, Vol. 14, Issue. 04, p. 1750049.

    Güneysu, B. Matte, O. and Møller, J. S. 2017. Stochastic differential equations for models of non-relativistic matter interacting with quantized radiation fields. Probability Theory and Related Fields, Vol. 167, Issue. 3-4, p. 817.

    Lazarovici, Dustin and Pickl, Peter 2017. A Mean Field Limit for the Vlasov–Poisson System. Archive for Rational Mechanics and Analysis, Vol. 225, Issue. 3, p. 1201.

    Bauer, Sebastian 2017. A non-relativistic model of plasma physics containing a radiation reaction term. Kinetic and Related Models, Vol. 11, Issue. 1, p. 25.

    Kruglov, S. I. 2017. Magnetized black holes and nonlinear electrodynamics. International Journal of Modern Physics A, Vol. 32, Issue. 23n24, p. 1750147.

    Matolcsi, T. Fülöp, T. and Weiner, M. 2017. Second-order equation of motion for electromagnetic radiation back-reaction. Modern Physics Letters A, Vol. 32, Issue. 27, p. 1750147.

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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.


'… 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.'

Source: Classical and Quantum Gravity

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