Space fractional Schrödinger equation for a quadrupolar triple Dirac-δ potential

Abstract

We solve the space fractional Schr ̈odinger equation for a quadrupolar triple Dirac-δ potential for all energies using the momentum representation approach. For the case E < 0 we derive an expression satisfied by the bound-state energy. Graphical representation of this expression reveals that there is only one and unique energy level corresponding to each fractional order α considered. We express the wave functions in terms of Fox’s H-function.