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- W1645015280 abstract "Normalized lowering and raising operators are constructed for the orthogonal group in the canonical group chain O(n) ⊃ O(n − 1) ⊃ … ⊃ O(2) with the aid of graphs which simplify their construction. By successive application of such lowering operators for O(n), O(n − 1), … on the highest weight states for each step of the chain, an explicit construction is given for the normalized basis vectors. To illustrate the usefulness of the construction, a derivation is given of the Gel'fand-Zetlin matrix elements of the infinitesimal generators of O(n)." @default.
- W1645015280 created "2016-06-24" @default.
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- W1645015280 date "1967-06-01" @default.
- W1645015280 modified "2023-10-18" @default.
- W1645015280 title "Lowering and Raising Operators for the Orthogonal Group in the Chain <i>O</i>(<i>n</i>) ⊃ <i>O</i>(<i>n</i> − 1) ⊃ … , and their Graphs" @default.
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- W1645015280 doi "https://doi.org/10.1063/1.1705340" @default.
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