2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/93794By making use of an ${\it ansatz}$ for the eigenfunction, we obtain the exact solutions to the Schrödinger equation with the anharmonic potential, $V(r)=a r^2+b r^{-4}+c r^{-6}$, both in three dimensions and in two dimensions, where the parameters $a$, $b$, and $c$ in the potential satisfy some constraints.PS file 10 pages, Submitted to J.P.AQuantum PhysicsSchrödinger Equation with the Potential $V(r)=a r^2+b r^{-4}+c r^{-6}$text