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Quantum electrodynamics of relativistic bound states with cutoffs. II
Barbaroux, Jean-Marie ; Dimassi, Mouez ; Guillot, Jean-Claude
HAL, hal-00377285 / Harvested from HAL
Text on HAL
In this note, we consider an Hamiltonian, with ultraviolet and infrared cutoffs, describing the interaction of relativistic electrons and positrons in a Coulomb potetial with photons in Coulomb gauge. The interaction includes both interaction of the current-density with transversal photons and the Wick ordering corrected Coulomb interaction of charge-density with itself. We prove that the Hamiltonian is self-adjoint and has a ground state for sufficiently small coupling constatnt
Publié le : 2002-07-05
Classification:  Quantum electrodynamics,  relativistic hydrogen,  ground state,  [MATH.MATH-MP]Mathematics [math]/Mathematical Physics [math-ph] 
@article{hal-00377285,
     author = {Barbaroux, Jean-Marie and Dimassi, Mouez and Guillot, Jean-Claude},
     title = {Quantum electrodynamics of relativistic bound states with cutoffs. II},
     journal = {HAL},
     volume = {2002},
     number = {0},
     year = {2002},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00377285}
}

Barbaroux, Jean-Marie; Dimassi, Mouez; Guillot, Jean-Claude. Quantum electrodynamics of relativistic bound states with cutoffs. II. HAL, Tome 2002 (2002) no. 0, . http://gdmltest.u-ga.fr/item/hal-00377285/