Exact solutions of the 2D Schrödinger equation with central potentials induced by the non-commutativity of space

Slimane Zaim

We obtain exact solutions of the 2D Schrödinger equation with the central potentials $V(r)=a{r}^2+b{r}^{-2}+c{r}^{-4}$ and $V(r)=a{r}^{-1}+b{r}^{-2}$ in a non-commutative space up to the fir…