Quantum electrodynamics of relativistic bound states with cutoffs

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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.
To appear in "Journal of Hyperbolic Differential Equations

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Mathematical Physics, 81V45; 35P05

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http://salesiana.dossiersoluciones.com/handle/123456789/57587

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math-ph/0312011
 http://arxiv.org/abs/math-ph/0312011

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arXiv