Time dependent solutions for a fractional Schrödinger equation with delta potentials

Time dependent solutions for a fractional Schrödinger equation with delta potentials

E. K. Lenzi, H. V. Ribeiro, M. A. F. Santos, R. Rossato, R. S. Mendes, J. Math. Phys. 54, 082107 (2013). PDF | DOI

We investigate, for an arbitrary initial condition, the time dependent solutions for a fractional Schrödinger equation in presence of delta potentials by using the Green function approach. The solutions obtained show an anomalous spreading asymptotically characterized by a power-law behavior, which is governed by the order of the fractional spatial operator present in the Schrödinger equation.