  The polynomial solution of the Schrodinger equation for the Pseudoharmonic
potential is found for any arbitrary angular momentum $l$. The exact
bound-state energy eigenvalues and the corresponding eigen functions are
analytically calculated. The energy states for several diatomic molecular
systems are calculated numerically for various principal and angular quantum
numbers. By a proper transformation, this problem is also solved very simply by
using the known eigensolutions of anharmonic oscillator potential.
