Some problems in quantum mechanical representation theory

Abstract

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.