Generators ofO(4, 1)for the Quantum-Mechanical Hydrogen Atom

It is well known that the noncompact group $O(4, 1)$ is an imbedding group for the symmetry group $O\left(4\right)\mathrm{}$ of the hydrogen atom. The expressions for the generators of $O(4, 1)$ in terms of the dynamical variables r and p have been calculated by Bacry in the classical case. We have succeeded in calculating these generators in the quantum-mechanical case also. The classical expressions of Bacry are obtained in the limit $\hslash \to 0$.