Summary
A Quantum-Electrodynamical (QED) perturbation theory is devel oped for one- and two-electron systems with interaction between bound electrons and the radiative field being treated as the lowest-order perturbation. In calcula tions of the energy terms for the Is3l-configurations of helium-like ions, the effects of the gauge dependence are considered. An analytical relativistic basis-set repre sentation for the Coulomb Green’s function is investigated for the high-order QED calculations. The Green’s function method provides a basis to obtain the second order correlation energy for the ground state of the He-like systems in the limits of both small and large values of the nuclear charge Z. Another application is pre sented to determine electric dipole polarizabilities and hyperpolarizabilities for one and two-electron ions.
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Pal’chikov, V.G. (1999). Relativistic Effects in Spectra of One- and Two-Electron Ions. In: Beyer, H.F., Shevelko, V.P. (eds) Atomic Physics with Heavy Ions. Springer Series on Atoms+Plasmas, vol 26. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-58580-7_5
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