Ervin K. Lenzi, Haroldo V. Ribeiro, Maike A. F. dos Santos, Roberto Rossato e Renio S. Mendes
JOURNAL OF MATHEMATICAL PHYSICS Volume: 54 Issue: 8 Article Number: 82107 DOI: 10.1063/1.4819253
We investigate, for an arbitrary initial condition, the time dependent solutions for a fractional Schrödinger equation in the 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.