Algebraic Treatment of the MIC-Kepler System in Spherical Coordinates

The MIC-Kepler system is studied via the Milshtein--Strakhovenko variant of the so(2,1) Lie algebra. Green's function is constructed in spherical coordinates, with the help of the Kustaanheimo--Stiefel variables and the generators of the SO(2,1) group. The energy spectrum and the normalized wavefunctions of the bound states are obtained.