q-Deformed Schrödinger Equation

Abstract

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 $S{U}_q(2)$ 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, LATEX

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