Recently there has been much interact in the group theoretical investigation of inherent dynamical symmetries of exactly solvable systems such as the non-relativistic Kepler problem, rigid rotator and the isotropic harmonic oscillator. One reason for such a study is that the structure of closely related problems in hadron physics may be studied, namely the use of higher symmetry of interaction® in order to classify the spectrum of the system by the corresponding non-invariance dynamical groups.