2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/153695We found hermitian realizations of the position vector $\vec{r}$, angular momentum $\vecΛ$ 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 Schrödinger equation, whose solution for Coulomb and oscillator potential are briefly discussed.12 pages, LATEXQuantum AlgebraHigh Energy Physics - Theorytext