  We found hermitian realizations of the position vector $\vec{r}$, angular
momentum $\vec{\Lambda}$ and linear momentum $\vec{p}$ behaving like vectors
with respect to the $SU_q(2)$ algebra, generated by $L_0$ and $L_\pm$. They are
used to write the $q$ deformed Schr\"odinger equation, whose solution for
Coulomb and oscillator potential are briefly discussed.
