Physics – Mathematical Physics
Scientific paper
2003-12-02
Physics
Mathematical Physics
To appear in "Journal of Hyperbolic Differential Equations
Scientific paper
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.
Barbaroux Jean-Marie
Dimassi Mouez
Guillot Jean-Claude
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