Quantum electrodynamics of relativistic bound states with cutoffs

2003/12/02 by J. -M. Barbaroux, Barbaroux, J. -M., M. Dimassi +3
Mathematics · Physics and Astronomy · #35P05 #81V45 #FOS: Physical sciences #Mathematical Physics (math-ph) #math-ph #math.MP #msc:35P05 #msc:81V45

paper · pdf · doi:10.48550/arxiv.math-ph/0312011

To appear in "Journal of Hyperbolic Differential Equations

arxiv created 2003/12/02 · arxiv updated 2009/12/01

Abstract

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.

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