2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/88795By applying an ansatz to the eigenfunction, an exact closed form solution of the Schrödinger equation in 2D is obtained with the potentials, $V(r)=ar^2+br^4+cr^6$, $V(r)=ar+br^2+cr^{-1}$ and $V(r)=ar^2+br^{-2}+cr^{-4}+dr^{-6}$, respectively. The restrictions on the parameters of the given potential and the angular momentum $m$ are obtained.Latex files and accepted by Inter. J. Theor. Phys. 39, No. 4Quantum PhysicsExact Solutions of the two-dimensional Schrödinger equation with certain central potentialstext