Bases and interbasis transformations for the SU(2) monopole

The variables in the Schrodinger equation for the bound "charge-SU(2) monop ole" system are separated in hyperspherical, parabolic, and spheroidal coor dinates in the space R-5. It is shown that the expansion coefficients of th e 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 sph eroidal basis with respect to the hyperspherical and parabolic bases.