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Article Dans Une Revue Journal of Hyperbolic Differential Equations Année : 2004

Quantum electrodynamics of relativistic bound states with cutoffs

Résumé

We consider an Hamiltonian with ultraviolet and infrared cutoffs, describing the interaction of relativistic electrons and positrons in the Coulomb potential with photons in Coulomb gauge. The interaction includes both interaction of the current density with transversal photons and the Coulomb interaction of charge density with itself. We prove that the Hamiltonian is self-adjoint and has a ground state for sufficiently small coupling constants.

Dates et versions

hal-00012911 , version 1 (29-10-2005)

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Jean-Marie Barbaroux, M. Dimassi, J. -C. Guillot. Quantum electrodynamics of relativistic bound states with cutoffs. Journal of Hyperbolic Differential Equations, 2004, 1,No.2, pp.271-314. ⟨10.1142/S021989160400010X⟩. ⟨hal-00012911⟩
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