Special Session 70: Fractional Calculus: Theory, Methods and Applications

Mathematical and Numerical Study of 1D Fractional Schrodinger Equations via Semiclassical Approximations

Songting Luo
Iowa State University
USA
Co-Author(s):    Yijin Gao, Songting Luo, Paul Sacks
Abstract:
In this talk, we will discuss the possibility of extending the WKB approximations for the standard Schrodinger equations to the fractional Schrodinger equations. We will conduct a preliminary study on 1D fractional Schrodinger equations, along with numerical experiments.