- 05-249 L. Amour & B. Grebert & J. C. Guillot
- The dressed mobile atoms and ions
Jul 20, 05
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Abstract. We consider free atoms and ions in $\R^3$ interacting with the
quantized electromagnetic field. Because of the translation
invariance we consider the reduced hamiltonian associated with the
total momentum. After introducing an ultraviolet cutoff we prove
that the reduced hamiltonian for atoms has a ground state if the
coupling constant and the total momentum are sufficiently small.
In the case of ions an extra infrared regularization is needed. We
also consider the case of the hydrogen atom in a constant magnetic
field. Finally we determine the absolutely continuous spectrum of
the reduced hamiltonian.