2004/05/13 by G. Gaigalas, T. Zalandauskas, Z. Rudzikas
Physics and Astronomy · #physics.atom-ph
published as Lithuanian Journal of Physics 41 (2001) 226-231
arxiv created 2004/05/13 · arxiv updated 2009/12/01
Transformation matrices of the weights of the atomic wave functions in jj coupling to the relevant weights of LS coupling are considered for a shell of equivalent electrons. Their use allows one to preserve main part of relativistic effects but to classify the energy levels of an atom or an ion considered with the help of a set of quantum numbers of LS coupling scheme. Having in mind that the numerical values of the abovementioned transformation matrix (LS-jj) may be generally obtained in a very time consuming recurrent way, the analytical expressions of these matrices for a number of special cases of electronic configurations are presented.