Resonances for Atoms in Dipole approximation of non-relativistic QED

2025/07/04 by Hasler, David, Lange, Markus
#FOS: Physical sciences #Mathematical Physics (math-ph)

paper · doi:10.48550/arxiv.2507.03805

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.

Citations

• Existence and Construction of Resonances for Atoms Coupled to the Quantized Radiation Field
• Convergent expansions in non-relativistic QED: Analyticity of the ground\n state
• Existence of Atoms and Molecules in Non-Relativistic Quantum Electrodynamics
• Exponential Decay and Ionization Thresholds in Non-Relativistic Quantum Electrodynamics

Related

• Existence and Construction of Resonances for Atoms Coupled to the Quantized Radiation Field
• Existence of Atoms and Molecules in Non-Relativistic Quantum Electrodynamics
• Spectral Theory for the Standard Model of Non-Relativistic QED
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