dorsal/arxiv
View SchemaAnalytical expressions for special cases of LS-jj transformation matrices for a shell of equivalent electrons
| Authors | G. Gaigalas, T. Zalandauskas, Z. Rudzikas |
|---|---|
| Categories | |
| ArXiv ID | physics/0405060 |
| URL | https://arxiv.org/abs/physics/0405060 |
| Journal | Lithuanian Journal of Physics 41 (2001) 226-231 |
Abstract
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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"abstract": "Transformation matrices of the weights of the atomic wave functions in jj\ncoupling to the relevant weights of LS coupling are considered for a shell of\nequivalent electrons. Their use allows one to preserve main part of\nrelativistic effects but to classify the energy levels of an atom or an ion\nconsidered with the help of a set of quantum numbers of LS coupling scheme.\nHaving in mind that the numerical values of the abovementioned transformation\nmatrix (LS-jj) may be generally obtained in a very time consuming recurrent\nway, the analytical expressions of these matrices for a number of special cases\nof electronic configurations are presented.",
"arxiv_id": "physics/0405060",
"authors": [
"G. Gaigalas",
"T. Zalandauskas",
"Z. Rudzikas"
],
"categories": [
"physics.atom-ph"
],
"journal_ref": "Lithuanian Journal of Physics 41 (2001) 226-231",
"title": "Analytical expressions for special cases of LS-jj transformation matrices for a shell of equivalent electrons",
"url": "https://arxiv.org/abs/physics/0405060"
},
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