Resonances for Atoms in Dipole approximation of non-relativistic QED

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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Publication Details

Journal
ArXiv.org
Published
2025-07-04
Primary Topic
Atomic and Molecular Physics
Type
article
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article

Resonances for Atoms in Dipole approximation of non-relativistic QED

Markus Lange, David Hasler
ArXiv.org
Atomic and Molecular Physics
article

Resonances for Atoms in Dipole approximation of non-relativistic QED

Markus Lange, David Hasler
article en

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.

ArXiv.org
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Atomic and Molecular Physics
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Resonances for Atoms in Dipole approximation of non-relativistic QED — Markus Lange, David Hasler · ArXiv.org (2025) | TGRS Research Map | TGRS