On the numerical solution of the eigenvalue problem in fractional quantum mechanics

In this work we propose a Control Volume Function Approximation (CVFA) method to solve equations involving the fractional Laplacian. The function approximation part is carried out with Radial Basis Function (RBF) interpolation. The physical application of interest is the eigenvalue problem for the time independent fractional Schrِdinger equation. Fractional derivatives are considered in the Riesz potentials sense.