Title jj to LSJ transformation for configuration state functions with an arbitrary number of open shells
Authors Gaigalas, Gediminas
DOI 10.3390/atoms14030020
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Is Part of Atoms.. Basel : MDPI. 2026, vol. 14, iss. 3, art. no. 20, p. [1-12].. ISSN 2218-2004
Keywords [eng] energy levels ; LSJ-coupling ; jj-coupling ; jj into LSJ transformation ; unique labeling
Abstract [eng] This paper presents a methodology that allows for calculated energy levels and other atomic characteristics in relativistic atomic theory, i.e., using the jj-coupling scheme, to be identified in terms of LSJ-coupling characteristics. The paper begins with outlining the general principles for effectively addressing this problem. Furthermore, it provides a general expression that enables such identification when the atomic state function consists of any number of configuration state functions, each with any number of open shells, and explains how this expression was obtained. The methodology developed in this paper has been successfully implemented in the General Relativistic Atomic Structure Package and can be applied to other similar packages.
Published Basel : MDPI
Type Journal article
Language English
Publication date 2026
CC license CC license description