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.