Solution of a Novel Quasi-Exactly Solvable Potential via Asymptotic Iteration Method

We apply the asymptotic iteration method to a novel quasi-exactly solvable model with symmetric inverted potentials which are unbounded from below. Energy eigenvalues and eigenfunctions are determined. Our results are in consistent with exact results. Subject Index: 013, 060 Since the wave function contains all the necessary information to describe a quantum system fully, it is of high importance of obtaining exact or approximate solutions of Schrödinger equation in quantum mechanics. It is known that there are not so many potentials that can be solved exactly. Therefore, many techniques ar