Double-pair Coulomb and Breit photon correction to the correlated relativistic energy
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arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866917132728532992 |
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| author | Jeszenszki, Péter Mátyus, Edit |
| author_facet | Jeszenszki, Péter Mátyus, Edit |
| contents | The simplest, algebraic quantum-electrodynamical corrections, due to the double-negative energy subspace and instantaneous interactions, are computed to the no-pair energy of two-spin-1/2-fermion systems. Numerical results are reported for two-electron atoms with a clamped nucleus and positronium-like genuine two-particle systems. The Bethe-Salpeter equation provides the theoretical framework, and numerical methods have been developed for its equal-time time-slice. In practice, it requires solving a sixteen-component eigenvalue equation with a two-particle Dirac Hamiltonian, including the appropriate interaction. The double-pair corrections can either be included in the interaction part of the eigenvalue equation or treated as a perturbation to the no-pair Hamiltonian. The numerical results have an $α$ fine-structure constant dependence that is in excellent agreement with the known $α^3E_\mathrm{h}\$-order double-pair correction of non-relativistic quantum electrodynamics. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_04571 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Double-pair Coulomb and Breit photon correction to the correlated relativistic energy Jeszenszki, Péter Mátyus, Edit Chemical Physics Quantum Physics The simplest, algebraic quantum-electrodynamical corrections, due to the double-negative energy subspace and instantaneous interactions, are computed to the no-pair energy of two-spin-1/2-fermion systems. Numerical results are reported for two-electron atoms with a clamped nucleus and positronium-like genuine two-particle systems. The Bethe-Salpeter equation provides the theoretical framework, and numerical methods have been developed for its equal-time time-slice. In practice, it requires solving a sixteen-component eigenvalue equation with a two-particle Dirac Hamiltonian, including the appropriate interaction. The double-pair corrections can either be included in the interaction part of the eigenvalue equation or treated as a perturbation to the no-pair Hamiltonian. The numerical results have an $α$ fine-structure constant dependence that is in excellent agreement with the known $α^3E_\mathrm{h}\$-order double-pair correction of non-relativistic quantum electrodynamics. |
| title | Double-pair Coulomb and Breit photon correction to the correlated relativistic energy |
| topic | Chemical Physics Quantum Physics |
| url | https://arxiv.org/abs/2510.04571 |