Український математичний конгрес  2009
Денис Сухарев (Одесский государственный экологический университет, Одесса, Украина) Energy approach for definition of the Lamb shift selfenergy part An advanced method for calculation of the selfenergy part of the Lamb shift LE is presented. In an atomic system the radiative shift and the relativistic part of the energy are, in. principle, determined by one and the same physical field [1]. It may be supposed that there exists some universal function that connects the self energy correction and the relativistic energy. The selfenergy correc¬tion for the states of a hydrogenlike ion was presented by Mohr [2]. We construct the similar universal function F but which it is correct for any multielectron system. The procedure of generalization for a case of multielectron system with the finite nucleus consists of the following steps: 1). Calculation of the relativistic energy values for the states nlj of Hlike ions with the point nucleus (in accordance with the Zommerfeld formula); 2). Construction of an approximating universal function F; 3). Calculation of the relativistic energy values for the states nlj of multielectron system with the finite nucleus; 4). Calculation of LE for the cited states. The energies of the states nlj of multielectron system are calculated twice: with a conventional constant of the fine structure alpha=1/137.04 and with alpha1=alpha/1000. The results of latter calculations were considered as nonrelativistic. This permitted isolation of ER and . References:
