Resonances for Atoms in Dipole approximation of non-relativistic QED

TL;DR

This paper proves the existence of ground and resonance states for atoms in a dipole approximation of non-relativistic QED, showing their dependence on the coupling constant and utilizing operator theoretic renormalization.

Contribution

It establishes the existence and analytic dependence of ground and resonance states in symmetric degenerate cases within non-relativistic QED.

Findings

Ground states and resonance states exist under symmetry conditions.

States and energies depend analytically on the coupling constant.

Application of operator theoretic renormalization techniques.

Abstract

We consider atoms or molecules coupled to the quantized electromagnetic radiation field in a dipole approximation. We show the existence of ground states and resonance states in situations where the eigenvalues are degenerate and protected by a symmetry group. We show that ground states and resonance states as well as their energies depend analytically on the coupling constant. Our results are an application of the result in [20], which in turn is obtained using operator theoretic renormalization.