Physics – Mathematical Physics
Scientific paper
2011-06-07
Physics
Mathematical Physics
Revised second version providing optimized exponential decay rates for the semi-relativistic Pauli-Fierz model; see Theorem 4.
Scientific paper
We consider the semi-relativistic Pauli-Fierz Hamiltonian and a no-pair model of a hydrogen-like atom interacting with a quantized photon field at the respective critical values of the Coulomb coupling constant. For arbitrary values of the fine-structure constant and the ultra-violet cutoff, we prove the existence of normalizable ground states of the atomic system in both models. This complements earlier results on the existence of ground states in (semi-)relativistic models of quantum electrodynamics at sub-critical coupling by E. Stockmeyer and the present authors. Technically, the main new achievement is an improved estimate on the spatial exponential localization of low-lying spectral subspaces yielding uniform bounds at large Coulomb coupling constants. In the semi-relativistic Pauli-Fierz model our exponential decay rate given in terms of the binding energy reduces to the one known from the electronic model when the radiation field is turned off. In particular, an increase of the binding energy due to the radiation field is shown to improve the localization of ground states.
Könenberg Martin
Matte Oliver
No associations
LandOfFree
Ground states of semi-relativistic Pauli-Fierz and no-pair Hamiltonians in QED at critical Coulomb coupling does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Ground states of semi-relativistic Pauli-Fierz and no-pair Hamiltonians in QED at critical Coulomb coupling, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Ground states of semi-relativistic Pauli-Fierz and no-pair Hamiltonians in QED at critical Coulomb coupling will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-27225