Gaussian basis set approach to one-loop self-energy
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866915236611620864 |
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| author | Ferenc, Dávid Salman, Maen Saue, Trond |
| author_facet | Ferenc, Dávid Salman, Maen Saue, Trond |
| contents | We report a method for the evaluation of the one-loop self-energy, to all orders in the external binding field, using a Gaussian basis set expansion. This choice of basis is motivated by its widespread use in molecular calculations. For a one-electron atom, our results show excellent agreement with those obtained using the exact Dirac--Coulomb wave functions. The developed method can be of interest for high-precision studies of heavy few-electron molecular systems, where the rigorous computation of QED corrections is currently a formidable task. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_10027 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Gaussian basis set approach to one-loop self-energy Ferenc, Dávid Salman, Maen Saue, Trond Quantum Physics We report a method for the evaluation of the one-loop self-energy, to all orders in the external binding field, using a Gaussian basis set expansion. This choice of basis is motivated by its widespread use in molecular calculations. For a one-electron atom, our results show excellent agreement with those obtained using the exact Dirac--Coulomb wave functions. The developed method can be of interest for high-precision studies of heavy few-electron molecular systems, where the rigorous computation of QED corrections is currently a formidable task. |
| title | Gaussian basis set approach to one-loop self-energy |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2501.10027 |