Time dependent solutions for fractional coupled Schrodinger equations

We analyze dynamical properties of two fractional Schrodinger equations coupled by some classes of real time independent potentials. For this set of equations, we investigate the required conditions on the equations making it possible to retain the probabilistic interpretation of their correspondent solutions when two component wave functions are considered. We observe the presence of interference between the components during the transition processes which can be either reversible or irreversible depending on the condition imposed on the potentials. The solutions for these equations are obtained in both cases of localized and non-localized coupling potentials. (C) 2018 Elsevier Inc. All rights reserved.