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Zbl 0769.35057
Bambusi, Dario; Galgani, Luigi
Some rigorous results on the Pauli-Fierz model of classical electrodynamics. (English)
[J] Ann. Inst. Henri Poincaré, Phys. Théor. 58, No.2, 155-171 (1993). ISSN 0246-0211

Summary: We consider the dynamical system describing the classical electromagnetic field interacting with an extended rigid charged particle in the nonrelativistic approximation (the Pauli-Fierz model); neither the motion of the particle nor the field are given in advance. We give some preliminary mathematical results, namely: global existence and uniqueness of the solution of the Cauchy problem; existence and stability of a family of solitary wave solutions with the particle performing uniform motion; bounds on the change of the energy spectrum at high frequencies.

MSC 2000:: *35Q60 PDE of electromagnetic theory and optics
81V10 Electromagnetic interaction
78A35 Motion of charged particles

Keywords: Coulomb gauge; global existence and uniqueness of solution of Cauchy problem; space of finite energy states; stability for family of solitary wave solutions; Fourier transform; time evolution of energy spectral distribution

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