Geodesic
Bases and interbasis transformations for the $SU(2)$ monopole
Teoretičeskaâ i matematičeskaâ fizika, Tome 123 (2000) no. 1, pp. 44-56 
L. G. Mardoyan; A. N. Sisakyan; V. M. Ter-Antonyan. Bases and interbasis transformations for the $SU(2)$ monopole. Teoretičeskaâ i matematičeskaâ fizika, Tome 123 (2000) no. 1, pp. 44-56. http://geodesic.mathdoc.fr/item/TMF_2000_123_1_a3/
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Voir la notice de l'article provenant de la source Math-Net.Ru

The variables in the Schrödinger equation for the bound "charge–$SU(2)$-monopole" system are separated in hyperspherical, parabolic, and spheroidal coordinates in the space $\mathbb R^5$. It is shown that the expansion coefficients of the parabolic basis with respect to the hyperspherical basis can be expressed in terms of the Clebsch–Gordon coefficients of the group $SU(2)$. Three-term recurrence relations are derived for the expansion coefficients of the spheroidal basis with respect to the hyperspherical and parabolic bases.

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