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Effective quantum electrodynamics: One-dimensional model of the relativistic hydrogen-like atom
- Source :
- The Journal of Chemical Physics, 2023, 158, pp.244108
- Publication Year :
- 2023
-
Abstract
- We consider a one-dimensional effective quantum electrodynamics (QED) model of the relativistic hydrogen-like atom using delta-potential interactions. We discuss the general exact theory and the Hartree-Fock approximation. The present one-dimensional effective QED model shares the essential physical feature of the three-dimensional theory: the nuclear charge polarizes the vacuum state (creation of electron-positron pairs) which results in a QED Lamb-type shift of the bound-state energy. Yet, this 1D effective QED model eliminates some of the most serious technical difficulties of the three-dimensional theory coming from renormalization. We show how to calculate the vacuum-polarization density at zeroth order in the two-particle interaction and the QED Lamb-type shift of the bound-state energy at first order in the two-particle interaction. The present work may be considered as a step toward the development of a quantum-chemistry effective QED theory of atoms and molecules.
- Subjects :
- Mathematical Physics
Physics - Chemical Physics
Quantum Physics
Subjects
Details
- Database :
- arXiv
- Journal :
- The Journal of Chemical Physics, 2023, 158, pp.244108
- Publication Type :
- Report
- Accession number :
- edsarx.2305.13787
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1063/5.0152956