Relativistic corrections of order $mα^6$: singular operators and regularization
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866914282150559744 |
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| author | Korobov, Vladimir I |
| author_facet | Korobov, Vladimir I |
| contents | The finite operators are derived for the nonrecoil (leading order in the $(m/M)$ expansion) relativistic corrections in hydrogen-like atoms and ions at orders $mα^6$ in the two- and three-body formalism beyond the adiabatic approximation. Singular operators that appear in the derivation are analysed, and various regularization methods are discussed. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_16645 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Relativistic corrections of order $mα^6$: singular operators and regularization Korobov, Vladimir I Atomic Physics The finite operators are derived for the nonrecoil (leading order in the $(m/M)$ expansion) relativistic corrections in hydrogen-like atoms and ions at orders $mα^6$ in the two- and three-body formalism beyond the adiabatic approximation. Singular operators that appear in the derivation are analysed, and various regularization methods are discussed. |
| title | Relativistic corrections of order $mα^6$: singular operators and regularization |
| topic | Atomic Physics |
| url | https://arxiv.org/abs/2505.16645 |