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  • 1
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    Cambridge University Press
    Publication Date: 2024-04-05
    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.
    Keywords: coupled charge ; electromagnetic field ; energy-momentum relation ; long-time asymptotics ; adiabatic limit ; self-force ; comparison dynamics ; Lorentz-Dirac equation ; spinning charges ; many charges ; quantum theory ; Abraham model ; statistical mechanics ; energy states ; radiation ; relaxation at finite temperatures ; g-factor of the electron ; stability of matter ; thema EDItEUR::P Mathematics and Science::PH Physics::PHN Nuclear physics
    Language: English
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  • 2
    Electronic Resource
    Electronic Resource
    Springer
    Journal of statistical physics 34 (1984), S. 497-537 
    ISSN: 1572-9613
    Keywords: Steady states ; stochastic lattice gas models ; fast ionic conductors
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract We investigate theoretically and via computer simulation the stationary nonequilibrium states of a stochastic lattice gas under the influence of a uniform external fieldE. The effect of the field is to bias jumps in the field direction and thus produce a current carrying steady state. Simulations on a periodic 30 × 30 square lattice with attractive nearest-neighbor interactions suggest a nonequilibrium phase transition from a disordered phase to an ordered one, similar to the para-to-ferromagnetic transition in equilibriumE=0. At low temperatures and largeE the system segregates into two phases with an interface oriented parallel to the field. The critical temperature is larger than the equilibrium Onsager value atE=0 and increases with the field. For repulsive interactions the usual equilibrium phase transition (ordering on sublattices) is suppressed. We report on conductivity, bulk diffusivity, structure function, etc. in the steady state over a wide range of temperature and electric field. We also present rigorous proofs of the Kubo formula for bulk diffusivity and electrical conductivity and show the positivity of the entropy production for a general class of stochastic lattice gases in a uniform electric field.
    Type of Medium: Electronic Resource
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