Levy path integral approach to the solution of the fractional Schrödinger equation with infinite square well

Abstract: The solution to the fractional Schr\"odinger equation with infinite square well is obtained in this paper, by use of the L\'evy path integral approach. We obtain the even and odd parity wave functions of this problem, which are in accordance with those given by Laskin in [Chaos 10 (2000), 780--790].