Quantum electrodynamics of relativistic bound states with cutoffs
Barbaroux, Jean-Marie ; Dimassi, Mouez ; Guillot, Jean-Claude
HAL, hal-00008352 / Harvested from HAL
Text on HAL
We consider a Hamiltonian with ultraviolet and infrared cutoffs, describing the interaction of relativistc 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.
Publié le : 2004-07-05
Classification:  quantum electrodynamics,  [MATH.MATH-MP]Mathematics [math]/Mathematical Physics [math-ph],  [PHYS.QPHY]Physics [physics]/Quantum Physics [quant-ph] 
@article{hal-00008352,
     author = {Barbaroux, Jean-Marie and Dimassi, Mouez and Guillot, Jean-Claude},
     title = {Quantum electrodynamics of relativistic bound states with cutoffs},
     journal = {HAL},
     volume = {2004},
     number = {0},
     year = {2004},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00008352}
}

Barbaroux, Jean-Marie; Dimassi, Mouez; Guillot, Jean-Claude. Quantum electrodynamics of relativistic bound states with cutoffs. HAL, Tome 2004 (2004) no. 0, . http://gdmltest.u-ga.fr/item/hal-00008352/