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

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.

92 pages, 39 figures, 7 tables

References in corpus (5)

• Calculation of the Electron Self Energy for Low Nuclear Charge
• Electron Self Energy for the K and L Shell at Low Nuclear Charge
• Loop-after-loop contribution to the second-order Lamb shift in hydrogenlike low-Z atoms
• Leading logarithmic contribution to the second-order Lamb shift induced by the loop-after-loop diagram
• Contribution of the screened self-energy to the Lamb shift of quasidegenerate states

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• Ground-state hyperfine structure of H-, Li-, and B-like ions in middle-Z region
• Progress in quantum electrodynamics theory of highly charged ions
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• Nuclear effects in atomic transitions
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• Evaluation of the screened QED corrections to the g factor and the hyperfine splitting of lithiumlike ions
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