Geodesic
The Elliott scheme and its generalization
Teoretičeskaâ i matematičeskaâ fizika, Tome 4 (1970) no. 2, pp. 208-215

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A study is made of the symmetry propertiea of the quadrupole interaction in the field of a spherically symmetric oscillator. The noninvarlance group of the Hamiltonian describing this interaction is found to be $SO(3,2)$ for a two-dimensional and $Sp(3,3)$ for a three-dlmonslonal operator. It is shown that if vibrations of the generalized model are present at all in the standard model with pairing and quadrupole forces they only appear as a result of competition between these forces. 
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     author = {G. N. Afanas'ev},
     title = {The {Elliott} scheme and its generalization},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {208--215},
     publisher = {mathdoc},
     volume = {4},
     number = {2},
     year = {1970},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1970_4_2_a5/}
}
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G. N. Afanas'ev. The Elliott scheme and its generalization. Teoretičeskaâ i matematičeskaâ fizika, Tome 4 (1970) no. 2, pp. 208-215. http://geodesic.mathdoc.fr/item/TMF_1970_4_2_a5/