Comment on: "On the consistency of solutions of the space fractional Schrödinger equation"

Abstract

In [J. Math. Phys. 53, 042105 (2012)], Bayın claims to prove the consistency of the purported piece-wise solutions to the fractional Schrödinger 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 Schrödinger equation for an infinite square well [M. Jeng, S.-L.-Y. Xu, E. Hawkins, and J. M. Schwarz, J. Math. Phys. 51, 062102 (2010)].

5 pages. 3 figures. This is a comment on arXiv:1203.4556 [math-ph]