论文信息 - Numerical evaluation of the 1S12-state radiative level shift

Numerical evaluation of the 1S12-state radiative level shift

The one-photon self-energy radiative level shift for an electron in a Coulomb potential is evaluated numerically for the 1S12 state. The evaluation is done for values of the nuclear charge Z = 10, 20,…, 110. The errors in the values obtained are estimated to be less than 0.1 %. The results are compared with the results of previous calculations. The evaluation is based on the expressions given in the preceding paper.

Peter J. Mohr | P. Mohr

[1] D. Yennie,et al. Radiative level shifts II: Higher order contributions to the lamb shift , 1965 .

[2] W. Johnson,et al. LAMB SHIFT AND BINDING ENERGIES OF K ELECTRONS IN HEAVY ATOMS. , 1971 .

[3] D. Yennie,et al. Radiative level shifts, I. Formulation and lowest order lamb shift , 1965 .

[4] Eugene P. Wigner,et al. Formulas and Theorems for the Special Functions of Mathematical Physics , 1966 .

[5] Edmund Taylor Whittaker,et al. A Course of Modern Analysis , 2021 .

[6] A. Stroud,et al. Gaussian quadrature formulas , 1966 .

[7] G. Erickson. IMPROVED LAMB-SHIFT CALCULATION FOR ALL VALUES OF Z. , 1971 .

[8] W. Gautschi. Computational Aspects of Three-Term Recurrence Relations , 1967 .