On the consistency of the solutions of the space fractional Schroumldinger equation (vol 53, 042105, 2012)

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Bayin S. S.

JOURNAL OF MATHEMATICAL PHYSICS, vol.53, no.8, 2012 (SCI-Expanded) identifier

  • Publication Type: Article / Editorial Material
  • Volume: 53 Issue: 8
  • Publication Date: 2012
  • Doi Number: 10.1063/1.4739758
  • Journal Name: JOURNAL OF MATHEMATICAL PHYSICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Keywords: functional analysis, partial differential equations, Schrodinger equation
  • Middle East Technical University Affiliated: No

Abstract

Recently we have reanalyzed the consistency of the solutions of the space fractional Schroumldinger equation found in a piecewise manner, and showed that an exact and a proper treatment of the relevant integrals prove that they are consistent. In this comment, for clarity, we present additional information about the critical integrals and describe how their analytic continuation is accomplished.