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arXiv · 2507.03805

Resonances for Atoms in Dipole approximation of non-relativistic QED

David Hasler·Markus Lange
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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.

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David Hasler, Markus Lange. 2025-07-04. Resonances for Atoms in Dipole approximation of non-relativistic QED. https://arxiv.org/abs/2507.03805

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