The $SU(3)\supset SO(3)$ missing label problem and the analytical Bethe ansatz
| Autor: | Crampe, Nicolas, Kabakibo, Dounia Shaaban, Vinet, Luc |
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| Rok vydání: | 2021 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1142/S0217751X22500385 |
| Popis: | The missing label for basis vectors of $SU(3)$ representations corresponding to the reduction $SU(3) \supset SO(3)$ can be provided by the eigenvalues of $SO(3)$ scalars in the enveloping algebra of $su(3)$. There are only two such independent elements of degree three and four. It is shown how the one of degree four can be diagonalized using the analytical Bethe ansatz. |
| Databáze: | arXiv |
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