- 98-728 Bach V., Froehlich J., Sigal I.M.
- Spectral Analysis for Systems of Atoms and Molecules
coupled to the Quantized Radiation Field
Nov 24, 98
(auto. generated ps),
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Abstract. We consider systems of static nuclei and electrons
--atoms and molecules-- coupled to the quantized radiation field.
The interactions between electrons and the soft modes of the quantized
electromagnetic field are described by minimal coupling,
p --> p - e A(x), where A(x) is the electromagnetic
vector potential with an ultraviolet cutoff. If the interactions
between the electrons and the quantized radiation field are turned off,
the atom or molecule is assumed to have at least one bound state.
We prove that, for sufficiently small
values of the feinstructure constant alpha, the interacting system
has a ground state corresponding to the bottom of its energy spectrum
and that the excited states of the atom or molecule
above the ground state turn
into metastable states whose life-times we estimate. Furthermore
the energy spectrum is absolutely continuous, except, perhaps,
in a small interval above the ground state energy and around the
threshold energies of the atom or molecule.