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| Main Author: | |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2604.22316 |
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| _version_ | 1866908990930157568 |
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| author | Matsuzawa, Yasumichi |
| author_facet | Matsuzawa, Yasumichi |
| contents | We present a direct derivation of Arai's effective Hamiltonian in non-relativistic quantum electrodynamics without relying on the scaling limit. Our result applies to a broader class of potentials, including the Rollnik class and confining potentials such as the harmonic potential. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_22316 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | A direct derivation of an effective Hamiltonian in non-relativistic quantum electrodynamics Matsuzawa, Yasumichi Mathematical Physics 81Q10 We present a direct derivation of Arai's effective Hamiltonian in non-relativistic quantum electrodynamics without relying on the scaling limit. Our result applies to a broader class of potentials, including the Rollnik class and confining potentials such as the harmonic potential. |
| title | A direct derivation of an effective Hamiltonian in non-relativistic quantum electrodynamics |
| topic | Mathematical Physics 81Q10 |
| url | https://arxiv.org/abs/2604.22316 |