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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2507.03805 |
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| _version_ | 1866908434704629760 |
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| author | Hasler, David Lange, Markus |
| author_facet | Hasler, David Lange, Markus |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_03805 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Resonances for Atoms in Dipole approximation of non-relativistic QED Hasler, David Lange, Markus Mathematical Physics 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. |
| title | Resonances for Atoms in Dipole approximation of non-relativistic QED |
| topic | Mathematical Physics |
| url | https://arxiv.org/abs/2507.03805 |