Time dependent solutions for a fractional Schrodinger equation with delta potentials

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.

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