ON THE INTERBASIS EXPANSION FOR THE KALUZA-KLEIN MONOPOLE SYSTEM

We study the interbasis expansion of the wave-functions of the Kaluza- Klein monopole system in the parabolic coordinate system with respect to the spherical coordinate system, and vice versa. We show that the c oefficients of the expansion are proportional to Clebsch-Gordan coeffi cients. We analyse the discrete and continuous spectrum as well, brief ly discuss the feature that the (reduced) Kaluza-Klein monopole system is separable in three coordinate systems, and the fact that there are five functionally independent integrals of motion, respectively obser vables, a property which characterizes this system as super-integrable .