Complete set of orthogonal scalar operators for the configuration f^{3}
JOSA B, Vol. 1, Issue 2, pp. 261-265 (1984)
http://dx.doi.org/10.1364/JOSAB.1.000261
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Abstract
When Coulomb interactions between f^{3} and other electronic configurations are taken to third and higher orders of perturbation theory, it becomes necessary to augment the standard set of thirteen electrostatic parameters with eight more. The operators associated with these eight parameters are orthogonalized to the standard set of operators, and a complete set of the matrix elements of all 21 orthogonalized operators is given for f^{3}. The group-theoretical properties of these operators are examined. Each operator corresponds to a unique pair of irreducible representations of R_{7} (the rotation group in the seven-dimensional orbital space of an f electron) and of G_{2} (Cartan’s first exceptional group), but the associated quasispin ranks and irreducible representations of Sp_{14} (the symplectic group in the 14-dimensional spin–orbital space of an f electron) are sometimes mixed. The combinations of quasispin ranks are odd for the three-electron operators t and even for the two-electron operators e.
© 1984 Optical Society of America
Citation
B. R. Judd and M. A. Suskin, "Complete set of orthogonal scalar operators for the configuration ƒ^{3}," J. Opt. Soc. Am. B 1, 261-265 (1984)
http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-1-2-261
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References
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