Gaussian basis set approach to one-loop self-energy

• URL: http://arxiv.org/abs/2501.10027v1
• Date: Fri, 17 Jan 2025 08:29:22 GMT
• Title: Gaussian basis set approach to one-loop self-energy
• Authors: Dávid Ferenc, Maen Salman, Trond Saue,
• Abstract summary: We report a method for the evaluation of the one-loop self-energy, to all orders in the external binding field. For a one-electron atom, our results show excellent agreement with those obtained using the exact Dirac--Coulomb wave functions.
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• Abstract: 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.

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