Analytical expressions for special cases of LS-jj transformation matrices for a shell of equivalent electrons

Details Analytical expressions for special cases of LS-jj transformation matrices for a shell of equivalent electrons Analytical expressions for special cases of LS-jj transformation matrices for a shell of equivalent electrons

2004-05-13

arxiv.org/abs/physics/0405060v1

Lithuanian Journal of Physics 41 (2001) 226-231

Physics

Atomic Physics

Scientific paper

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.

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