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

Authors

  • Jeffrey D. Tare National Institute of Physics, University of the Philippines Diliman
  • Jose Perico H. Esguerra National Institute of Physics, University of the Philippines Diliman

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.

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Issue

Article ID

SPP2013-3B-4

Section

Theoretical Physics

Published

2013-10-23

How to Cite

[1]
JD Tare and JPH Esguerra, Space fractional Schrödinger equation for a quadrupolar triple Dirac-δ potential, Proceedings of the Samahang Pisika ng Pilipinas 31, SPP2013-3B-4 (2013). URL: https://proceedings.spp-online.org/article/view/SPP2013-3B-4.