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

Abstract

The solution to the fractional Schrödinger equation with infinite square well is obtained in this paper, by use of the Lévy 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].

5 pages

References in corpus (3)

• Fractional Quantum Mechanics
• On the Consistency of the Solutions of the Space Fractional Schrödinger Equation
• Applications of density matrix in the fractional quantum mechanics

Cited by in corpus (1)

• Solving fractional Schroedinger-type spectral problems: Cauchy oscillator and Cauchy well