  For arbitrary values n and l quantum numbers, we present the solutions of the
3-dimensional Schrodinger wave equation with the pseudoharmonic potential via
SU(1,1) Spectrum Generating Algebra (SGA) approach. The explicit bound state
energies and eigenfunctions are obtained. The matrix elements r2 and r d/dr are
obtained (in a closed form) directly from the creation and annihilation
operators. In addition, the expectation values of r2 and p2 and the Heisenberg
Uncertainty Products (HUP) for set of diatomic molecules (O2, I2, N2, H2, CO,
NO, HCl, CH, LiH, ScH, TiH, VH, CrH, MnH, TiC, NiC, ScN, ScF, Ar2) for
arbitrary values of n and l quantum numbers are obtained. The results obtained
are in excellent agreement with the available results in the literature. It is
also shown that the HUP is obeyed for all diatomic molecules considered.
