Comment on "On the consistency of solutions of the space fractional Schödinger equation" [J. Math. Phys. 53, 042105 (2012)]

E. Hawkins, Jennifer M Schwarz

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Abstract

In Bayin's paper [J. Math. Phys.53, 042105 (2012)]10.1063/1.4705268, he claims to prove the consistency of the purported piece-wise solutions to the fractional Schödinger equation for an infinite square well. However, his calculation uses standard contour integral techniques despite the absence of an analytic integrand. The correct calculation is presented and supports our earlier work proving that the purported piece-wise solutions do not solve the fractional Schödinger equation for an infinite square well [M. Jeng, S.-L.-Y. Xu, E. Hawkins, and J. M. Schwarz, J. Math. Phys.51, 062102 (2010)]10.1063/1.3430552.

Original languageEnglish (US)
Article number014101
JournalJournal of Mathematical Physics
Volume54
Issue number1
DOIs
StatePublished - Jan 22 2013

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square wells
Fractional
Contour integral
Integrand
Standards

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

Cite this

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