Two-time Green's function method in quantum electrodynamics of high-Z few-electron atoms

2000/09/30 by В. М. Шабаев, V. M. Shabaev · 10 citations
Engineering · Physics and Astronomy · #Advanced Chemical Physics Studies #Atomic and Molecular Physics #Laser-induced spectroscopy and plasma #physics.atom-ph

paper · pdf · doi:10.1016/s0370-1573(01)00024-2

published as Physics Reports 356 (2002) 119-228. · 92 pages, 39 figures, 7 tables

arxiv created 2001/10/30 · openalex publication_date 2002/01/01 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/29

Abstract

The two-time Green function method in quantum electrodynamics of high-Z few-electron atoms is described in detail. This method provides a simple procedure for deriving formulas for the energy shift of a single level and for the energies and wave functions of degenerate and quasi-degenerate states. It also allows one to derive formulas for the transition and scattering amplitudes. Application of the method to resonance scattering processes yields a systematic theory for the spectral line shape. The practical ability of the method is demonstrated by deriving formulas for the QED and interelectronic-interaction corrections to energy levels and transition and scattering amplitudes in one-, two-, and three-electron atoms. Numerical calculations of the Lamb shift, the hyperfine splitting, the bound-electron g factor, and the radiative recombination cross section in heavy ions are also reviewed.

Citations

• Schrodinger-like equation for the relativistic few-electron atom
• Hyperfine structure of hydrogen-like ions
• The Theory of Photons and Electrons: The Relativistic Quantum Field Theory of Charged Particles with Spin One-half
• Quasi-optical approach in quantum field theory
• The infrared divergence phenomena and high-energy processes
• QED theory of the nuclear recoil effect in atoms
• A Relativistic Equation for Bound-State Problems

Cited by

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• Relativistic and quantum electrodynamic effects in superheavy elements
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• Parity-nonconservation effect in the dielectronic recombination of polarized electrons with heavy He-like ions
• Relativistic recoil, electron-correlation, and QED effects on the2pj-2stransition energies in Li-like ions
• Mathematical structure of relativistic Coulomb integrals
• Relativistic calculations of x-ray emission following a Xe-Bi83+collision
• QED calculation of transition probabilities in two-electron ions
• Relativistic calculations of the isotope shifts in highly charged Li-like ions
• Level sequence and splitting identification of closely spaced energy levels by angle-resolved analysis of fluorescence light