In the framework of symmetry scattering, SU(2,2)-invariant differentia
l equations on the homogeneous space X=SU(2,2)/S(U(2)xU(2)) are studie
d. The radial Schrodinger equation for a family of one or two dimensio
nal potentials or for two particles arise. From the asymptotic behavio
r of the solutions exact partial wave scattering amplitudes are derive
d.