Model operator approach to the Lamb shift calculations in relativistic many-electron atoms

Abstract

A model operator approach to calculations of the QED corrections to energy levels in relativistic many-electron atomic systems is developed. The model Lamb shift operator is represented by a sum of local and nonlocal potentials which are defined using the results of ab initio calculations of the diagonal and nondiagonal matrix elements of the one-loop QED operator with H-like wave functions. The model operator can be easily included in any calculations based on the Dirac-Coulomb-Breit Hamiltonian. Efficiency of the method is demonstrated by comparison of the model QED operator results for the Lamb shifts in many-electron atoms and ions with exact QED calculations.

14 pages, 10 tables, 3 figures

References in corpus (5)

• QED and relativistic corrections in superheavy elements
• Relativistic recoil, electron-correlation, and QED effects on the 2p_j-2s transition energies in Li-like ions
• Relativistic and QED corrections to the g factor of Li-like ions
• QED calculation of the 2p3/2-2p1/2 transition energy in five-electron ion of argon
• Quantum electrodynamics corrections to energies, transition amplitudes and parity nonconservation in Rb, Cs, Ba${}^{+}$, Tl, Fr and Ra${}^{+}$

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