Electron Self-Energy for the K and L Shells at Low Nuclear Charge

Published

April 1, 2001

Author(s)

U Jentschura, Peter J. Mohr, G Soff

Abstract

A nonperturbative numerical evaluation of the one-photon electron self energy for the K- and L-shell states of hydrogen like ions with nuclear charge numbers Z = 1 to 5 is described. Our calculation for the 1S_1/2 state has a numerical uncertainty of 0.8 Hz in atomic hydrogen, and for the L-shell states (2S_1/2, 2P_1/2 and 2P_3/2) the numerical uncertainty is 1.0Hz. The method of evaluation for the ground state and for the excited states is described in detail. The numerical results are compared to results based on known terms in the expansion of the self energy in powers of Zα.

Citation

Physical Review A (Atomic, Molecular and Optical Physics)

Volume

63

Issue

No. 4

Pub Type

Journals

Keywords

fundamental constants, lamb shifts, numerical methods, quantum electro dynamics, self energy, specific calculations

Citation

Jentschura, U. , Mohr, P. and Soff, G. (2001), Electron Self-Energy for the K and L Shells at Low Nuclear Charge, Physical Review A (Atomic, Molecular and Optical Physics) (Accessed October 11, 2025)