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

E. Hawkins, J. M. Schwarz

Research output: Contribution to journalComment/debate

13 Scopus citations

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

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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