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- W2024257788 endingPage "2386" @default.
- W2024257788 startingPage "2376" @default.
- W2024257788 abstract "The irreducible-tensor theory is extended to the double group O. A complex basis is used because the representations ${E}^{ensuremath{'}}$, ${E}^{ensuremath{'}ensuremath{'}}$, and ${U}^{ensuremath{'}}$ are necessarily complex, and a set of phase factors are presented. The presence of repeated representations in the reduction of direct products of representations implies that more than one set of $V$ coefficients may be associated with a given set of representations $mathrm{abc}$. For the group O, representations are repeated a maximum of two times in any direct product and the corresponding sets of $V$ coefficients are labeled ${V}_{1}$ and ${V}_{2}$. This requires a modification in the standard definition of $W$ so that the subscripts on the $V$ coefficients are included in the definition. This in turn calls for a rederivation of the useful matrix elements of double-tensor operators and several of the more important formulas are developed with particular emphasis on matrix elements in a spin-orbit basis. Complete tables of all $V$ and $W$ coefficients for O are also given." @default.
- W2024257788 created "2016-06-24" @default.
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- W2024257788 date "1972-06-01" @default.
- W2024257788 modified "2023-09-26" @default.
- W2024257788 title "Irreducible-Tensor Theory for the Group O. I.<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline><mml:mi>V</mml:mi></mml:math>and<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline><mml:mi>W</mml:mi></mml:math>Coefficients" @default.
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- W2024257788 doi "https://doi.org/10.1103/physreva.5.2376" @default.
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