Quantum electrodynamics of relativistic bound states with cutoffs
Barbaroux, Jean-Marie ; Dimassi, M. ; Guillot, J. -C.
HAL, hal-00012911 / Harvested from HAL
Text on HAL
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.
Publié le : 2004-07-05
Classification:  [MATH.MATH-MP]Mathematics [math]/Mathematical Physics [math-ph],  [PHYS.MPHY]Physics [physics]/Mathematical Physics [math-ph] 
@article{hal-00012911,
     author = {Barbaroux, Jean-Marie and Dimassi, M. and Guillot, J. -C.},
     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-00012911}
}

Barbaroux, Jean-Marie; Dimassi, M.; Guillot, J. -C. Quantum electrodynamics of relativistic bound states with cutoffs. HAL, Tome 2004 (2004) no. 0, . http://gdmltest.u-ga.fr/item/hal-00012911/